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Paper Citation Record · LEDGER

Quantum Hamming Metrics

As of 17 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2507.23046.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.23046 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T11:18:19.484016Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:30:45.396463Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T14:30:45.431020Z

Reference resolution

37 of 37 outbound references displayed

  • verified exact2
  • verified fuzzy29
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cc0a9765-5423-492a-9ce0-83656c7bae67 · outbound

This paper cites On embedding uniform and topological spaces.

Quantum Hamming Metrics On embedding uniform and topological spaces

Reference 1

Resolution
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raw_fallback, observed 2026-08-06T11:18:25.332759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.359221Z digest=sha256:117072493002b1e9403fcb83f1db82cb5577cf7a175ea3054c5247178f73e903

Observation 6a3d8ad6-0f32-4ab2-a32d-c7a95442a6e5 · outbound

This paper cites Interpolation problems in nest algebras.

Quantum Hamming Metrics Interpolation problems in nest algebras

Reference 2

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.363207Z digest=sha256:89f17ed50d8ebe134f5f9323484a7cbee90bbacbabf4355f291ca277d98f88a7

Observation 76e86210-d04b-46d6-b7ff-ef0c113edb68 · outbound

This paper cites Wasserstein Distances on Quantum Structures: an Overview.

Quantum Hamming Metrics Wasserstein Distances on Quantum Structures: an Overview

Reference 3

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:18:19.366840Z digest=sha256:2794ba00afaff583fd897f2bd026d4b0840f9c70ef300ffb8daabe5308a9b7ff

Observation 2b43c4a5-8898-4462-a724-955690271d60 · outbound

This paper cites C*-Algebras and Finite-Dimensional Ap- proximations, volume 88.

Quantum Hamming Metrics C*-Algebras and Finite-Dimensional Ap- proximations, volume 88

Reference 4

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.370792Z digest=sha256:5a0b02450cb4f42dc3c36a9bd88d4108c566eba25481496ac9a626d9732fb0c2

Observation 433b2d89-9e8c-4462-9cc0-55b1cb224294 · outbound

This paper cites Perturbations of operator algebras.

Quantum Hamming Metrics Perturbations of operator algebras

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.374202Z digest=sha256:aeda0357bf99e2f6455191374a6c91d2cf363f2a75a16402ad7e2a60c034f49f

Observation 5e70fe76-ace0-4e4a-9e0f-53922cc76c1d · outbound

This paper cites Classical shadows meet quantum optimal mass transport.

Quantum Hamming Metrics Classical shadows meet quantum optimal mass transport

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.377536Z digest=sha256:ad3b219dfc6461fe85780e46ec6e667b90727433616f382f83adf8e7a55f48c6

Observation 66e60f19-0c53-460d-81f9-d02bb91563f3 · outbound

This paper cites The quantum Wasser- stein distance of order 1.

Quantum Hamming Metrics The quantum Wasser- stein distance of order 1

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.381149Z digest=sha256:f9bd77e7ba8cfa708b653c7859881b6a8558d99b1970b21a8979905b88613d65

Observation e15fefc5-c77a-4d63-bc07-59587b4a96ed · outbound

This paper cites Quantum concentration inequalities.

Quantum Hamming Metrics Quantum concentration inequalities

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.384127Z digest=sha256:1664487eeb180550cb146e09d6711077a7e7b11580bdc9a2f8b8dc901d84df06

Observation c0a21a14-25bf-442b-9826-7ee511a959a9 · outbound

This paper cites The Wasserstein distance of order 1 for quantum spin systems on infinite lattices.

Quantum Hamming Metrics The Wasserstein distance of order 1 for quantum spin systems on infinite lattices

Reference 9

Resolution
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raw_fallback, observed 2026-08-06T11:18:23.880910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.387203Z digest=sha256:fb4008aade77b2b4ef1a94f7b7655d478d236a02e5d734b0648492ec933e9f01

Observation a5dc378d-c31a-49d2-b821-e450807bd4b1 · outbound

This paper cites Lipschitz-free spaces on finite metric spaces.

Quantum Hamming Metrics Lipschitz-free spaces on finite metric spaces

Reference 10

Resolution
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raw_fallback, observed 2026-08-06T11:18:23.757236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.390231Z digest=sha256:e1d497a8d91cd0159992fe053efc3226c75ab52468d470ec53b065cb6520343a

Observation 6666dc14-a86d-4907-8794-cafb60d93fd8 · outbound

This paper cites Sur un th´ eor` eme de Banach.Duke Math.

Quantum Hamming Metrics Sur un th´ eor` eme de Banach.Duke Math

Reference 11

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.393349Z digest=sha256:e782bae1d2a13a2f2a484208efef71977081adb49ab03a3253061d07e310c3f0

Observation eb9716a4-9202-4918-b2b0-abd53bd081a0 · outbound

This paper cites A simple proof in Monge–Kantorovich duality theory.

Quantum Hamming Metrics A simple proof in Monge–Kantorovich duality theory

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.396661Z digest=sha256:5ee4c6deb0c52da6c1e409038987aa4450b86cb69f361e4e414ebfec11d01601

Observation fb68ce35-998a-48d5-ae84-72a106f709e7 · outbound

This paper cites On the Kantorovich–Rubinstein theorem.

Quantum Hamming Metrics On the Kantorovich–Rubinstein theorem

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.399760Z digest=sha256:c1fedf1b8cf645fa60290c5ec5fc3f0369981dd6ac8e5a195a1872685681702d

Observation 2f86c2ee-6891-4d82-8659-3b2ae4039d12 · outbound

This paper cites Gracia-Bondia, Joseph C.

Quantum Hamming Metrics Gracia-Bondia, Joseph C

Reference 14

Resolution
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raw_fallback, observed 2026-08-06T11:18:23.117946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.403386Z digest=sha256:dd5fd4c8fe481deda998d7250616b065d393f29ae09d64db220677b7f0e053fe

Observation b13a0749-78af-400b-ad64-6f3e2ca2115c · outbound

This paper cites Quantum differential pri- vacy: An information theory perspective.

Quantum Hamming Metrics Quantum differential pri- vacy: An information theory perspective

Reference 15

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raw_fallback, observed 2026-08-06T11:18:22.903704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.406309Z digest=sha256:b392934ced611c2b29b335ed54236abd20c27b1853c58e0b81b432c753d16c06

Observation a856ec64-3092-4630-8be2-ed3d07bc6f86 · outbound

This paper cites Channel divergences and complexity in algebraic QFT.

Quantum Hamming Metrics Channel divergences and complexity in algebraic QFT

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.409254Z digest=sha256:2aa850725323588f7b9c62f3820ee863165a56827f7105943d7ed0234d2de706

Observation 122b4600-6999-4d78-8013-2ecd955dce42 · outbound

This paper cites Kadison and John R.

Quantum Hamming Metrics Kadison and John R

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.412201Z digest=sha256:b0ace2962ee4ed4678d6f65a78534c44f742f494b1f99f42501c97f194f7499d

Observation cdbe686c-290c-4801-9438-01d76b41735b · outbound

This paper cites Learning quantum data with the quantum earth mover’s distance.

Quantum Hamming Metrics Learning quantum data with the quantum earth mover’s distance

Reference 18

Resolution
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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.415088Z digest=sha256:272cfc397083c862572560de6115a90afa60411f2341746307623427d71449f0

Observation ba45bce2-724a-41fa-921f-725a8c3b0a40 · outbound

This paper cites A von Neumann algebra approach to quantum metrics , volume 215 of Mem.

Quantum Hamming Metrics A von Neumann algebra approach to quantum metrics , volume 215 of Mem

Reference 19

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raw_fallback, observed 2026-08-06T11:18:22.387533Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.418008Z digest=sha256:fd4c3e66edc841a7a70308d3facf43c793db4b89b8e304c8b36f83904d318198

Observation 625046b7-d904-4ad3-8d74-a0dfd65467e1 · outbound

This paper cites Testing the necessity of complex numbers in traditional quantum theory with quantum computers.

Quantum Hamming Metrics Testing the necessity of complex numbers in traditional quantum theory with quantum computers

Reference 20

Resolution
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raw_fallback, observed 2026-08-06T11:18:22.158580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.421943Z digest=sha256:d00bdcee04f013073a1d9f06fbf9a9a35f52fc85e138c57c06b65eb80ac862e5

Observation 80841708-2123-4c4b-8ba7-c2909e5aa464 · outbound

This paper cites Kantorovich distance on a finite metric space.

Quantum Hamming Metrics Kantorovich distance on a finite metric space

Reference 21

Resolution
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no resolver link, observed 2026-08-06T11:18:19.425085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:18:19.425085Z digest=sha256:2821d7c0d41ab67238c3a439cff43f7609e1797351792c60eefefec67258e406

Observation 9d03b1fc-9c53-4aa7-8dc4-a1fd12f564f3 · outbound

This paper cites Isometric structure of transportation cost spaces on finite metric spaces.

Quantum Hamming Metrics Isometric structure of transportation cost spaces on finite metric spaces

Reference 22

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raw_fallback, observed 2026-08-06T11:18:21.997645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.428428Z digest=sha256:77b30e88fa054c904814b276fe34ec7ca5a7816f89e8509f6ca02b6d3bd405b6

Observation fa053a08-9a73-4507-80c7-42349d1932cd · outbound

This paper cites Pedersen.

Quantum Hamming Metrics Pedersen

Reference 23

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.431893Z digest=sha256:4e0151b7065e0d795e54f7cedd4b894434b63fd81caadd62cf59f0fff6551319

Observation dbe44e5e-a44a-4777-af5d-a5b2f3b5ee9a · outbound

This paper cites Quantum Wasserstein distance between unitary operations.

Quantum Hamming Metrics Quantum Wasserstein distance between unitary operations

Reference 24

Resolution
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raw_fallback, observed 2026-08-06T11:18:21.544743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.435588Z digest=sha256:8066c63acbacfe69ee683fcdcb0102efe3d93fecff4155f9115c5215e0c1f6bd

Observation 8f9f91b6-ee6d-4886-a011-4d83d17f3138 · outbound

This paper cites Quantum physics falls apart without imaginary numbers.

Quantum Hamming Metrics Quantum physics falls apart without imaginary numbers

Reference 25

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raw_fallback, observed 2026-08-06T11:18:21.374479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.439582Z digest=sha256:015a760e53d05aa6eaebcaf70b26fab5562180450b1dbbbbf97adb8078cb8885

Observation 754c7869-ebf2-4b35-bcb9-6e0882500cde · outbound

This paper cites an unresolved cited work.

Quantum Hamming Metrics Unresolved cited work

Reference 26

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raw_fallback, observed 2026-08-06T11:18:21.114756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.442708Z digest=sha256:1606a1cfd2d4a2cf29c11f235ba00e7a8bdefe95876769737986f339ad903186

Observation 2fc16aca-d2d9-4e2c-b2db-b8dd14c92f68 · outbound

This paper cites an unresolved cited work.

Quantum Hamming Metrics Unresolved cited work

Reference 27

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no resolver link, observed 2026-08-06T11:18:19.449521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:18:19.449521Z digest=sha256:42d02f26ca4f411f14a60e3409a178d6411d95eee180239fcc0488f934680aa9

Observation d345017c-aece-44db-a190-367a7505ea6c · outbound

This paper cites Leibniz Seminorms and Best Approximation from C*-subalgebras.

Quantum Hamming Metrics Leibniz Seminorms and Best Approximation from C*-subalgebras

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-06T11:18:19.550706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.452633Z digest=sha256:90177379c4479cdb99316cae5d11f5623c68515a5bf700abaab9d98a673b691c

Observation 96ec672d-baa4-4433-bf6b-e2973728e138 · outbound

This paper cites Leibniz seminorms for "Matrix algebras converge to the sphere".

Quantum Hamming Metrics Leibniz seminorms for "Matrix algebras converge to the sphere"

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-06T11:18:19.525536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.456001Z digest=sha256:43732b0ae4f3dc9718a63ec6ff7e26b4213330eda1508056ab704ae78ac508a6

Observation 92001cc6-b762-4cb7-a338-6e40116b2670 · outbound

This paper cites Learning quantum many-body systems from a few copies.

Quantum Hamming Metrics Learning quantum many-body systems from a few copies

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:18:20.809947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.459536Z digest=sha256:1b622c5df67b8c5574deae50df52f38e5cf515ca9db120e3f7fb4fa76fc10b65

Observation 2abaab1e-f8d2-45b0-992c-d37e1d3a234f · outbound

This paper cites Lecture notes on mathematical aspects of quantum information theory.

Quantum Hamming Metrics Lecture notes on mathematical aspects of quantum information theory

Reference 31

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raw_fallback, observed 2026-08-06T11:18:20.584937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.462905Z digest=sha256:90d1cc0a6ee5a07990c399bfe12f9c0257a26fdb7bffd662972b13669913fff9

Observation 82c979ee-822b-4889-90b3-83d772735929 · outbound

This paper cites Bollettino dell’Unione Matematica Ital- iana, 18(1):347–360, 2025.

Quantum Hamming Metrics Bollettino dell’Unione Matematica Ital- iana, 18(1):347–360, 2025

Reference 32

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raw_fallback, observed 2026-08-06T11:18:20.423598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.470489Z digest=sha256:1ad6e66e4b1f7631ca528fccd9ecd69e3db2650d660d7ae309f3f6efa1331ac6

Observation 880af8a6-f547-4ef3-b77c-01cd68c42429 · outbound

This paper cites PhD thesis, Ph.

Quantum Hamming Metrics PhD thesis, Ph

Reference 33

Resolution
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raw_fallback, observed 2026-08-06T11:18:20.188554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.474570Z digest=sha256:1f3370a846b49ca617b777a29259a8ddcde57b408c957ab75756d2a763bc1768

Observation cdbd3514-4d92-4492-97e1-b5994740d922 · outbound

This paper cites Lipschitz algebras.

Quantum Hamming Metrics Lipschitz algebras

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-06T11:18:19.477681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:18:19.477681Z digest=sha256:01f20eaf3b424817b03f6ace90c4f44818c9c82f485f5c2f48236fa64df1687c

Observation c936c883-c068-4a69-b529-97487ba3a2fb · outbound

This paper cites On the unique predual problem for Lipschitz spaces.

Quantum Hamming Metrics On the unique predual problem for Lipschitz spaces

Reference 35

Resolution
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raw_fallback, observed 2026-08-06T11:18:19.948054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.481049Z digest=sha256:09f125bf0da497f48c9657fcd9315b4e141b613795ad888818cdc3c12463d8e8

Observation 20de736d-a27d-4f39-b9ad-4a6439b83a86 · outbound

This paper cites Improving the speed of variational quantum algorithms for quantum error correction.

Quantum Hamming Metrics Improving the speed of variational quantum algorithms for quantum error correction

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T11:18:19.825782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-06T11:18:19.484016Z digest=sha256:dacfe3f063c14d6bc655284523d47eb4ebcf60d0a9845a346d40d5ae8efbe426

Observation def247c8-f338-43ad-9367-b4e139e226a5 · outbound

This paper cites an unresolved cited work.

Quantum Hamming Metrics Unresolved cited work

Reference 1998

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unresolved
no resolver link, observed 2026-08-06T11:18:19.446163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:18:19.446163Z digest=sha256:7e6b988d62a968a4ee34c447462ca32cf0466f1bcc7d954705a5c314015c084d

Pith citing papers

Observation 0cadb685-1a8f-45a9-8cac-6db607951acf · inbound

Quantum Wasserstein distances for quantum permutation groups cites this paper.

Quantum Wasserstein distances for quantum permutation groups Quantum Hamming Metrics

Reference 1990

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T14:30:45.436521Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T14:30:45.396463Z digest=sha256:333c39c61b364f40290581973929765313bbd65d68a10ba36d22f7cf933362a1