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Paper Citation Record · LEDGER

Quantum Hamming Metrics

As of 9 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 2026-08-09T06:31:02.800959+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

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.359221Z digest=sha256:4353629bc4fd20df59a758ba391a1b6248e4c934ee448c31b632e198cc3d9de7

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.363207Z digest=sha256:3b5ea89cb94853f984bdea3612738c6cc8b051f2846b996a0c4ad172077a28b5

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

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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=sha256:98f97ba6d2832c14af6449dc67d1fd658b92ed2d1c8c93e615eeb6e502335abc

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

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.370792Z digest=sha256:6d2b75f47df019cd0b6cb6d05e087a17255271c42991115b514001d6047fabf4

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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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.374202Z digest=sha256:dddf971d55aad59be250b22ec773132a8712df581254b33089f2e2600cc267c7

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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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.377536Z digest=sha256:97d7fa12837e21c219188af0254c913ee42fa3c2d9175b51c6f84c4f9ae950c2

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.381149Z digest=sha256:f2ab839143a58f1007315bb9398351b2710498a2b74b9fe9bc40bb0da2f4b846

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.384127Z digest=sha256:10b75ae237cf1788784f04304c3356789041be4303397b050d41d2af7fc5ddf0

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

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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.387203Z digest=sha256:a4130e98b4e8ae8180996e0923eba56804aef14884a94b3912a2ad3d307356ad

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.390231Z digest=sha256:1057d404e203f250d5b9cf9fa749a739d8d1e0c7241ee0870bb177350b5a3b63

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.393349Z digest=sha256:8c464c1c511db561ae885632344579f7061d20d5a5d71fd658d990e1b6d2fff1

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.396661Z digest=sha256:af9615a90e76b7ad9b0eb5044622f191aa5ec9aa2972cff168de11a7084618d8

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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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.399760Z digest=sha256:b4d39d6d5fd9f8af562802b348f15239a007481baecef57c27b8e81ca00e40ba

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

This paper cites Gracia-Bondia, Joseph C.

Quantum Hamming Metrics Gracia-Bondia, Joseph C

Reference 14

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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.403386Z digest=sha256:fb36ebcf4edf9d151d10165a4464345c49f1822550ba8ce1ba7b39f2d0a9d1cd

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

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.406309Z digest=sha256:afa81150e5f52dd1d6ca4494d174ddf678ff17e3918f7b3d72329a470507e010

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.409254Z digest=sha256:0634211b62a14c128d1a2da54150b20854cf055fa09ff8e90a13c285236def3f

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

This paper cites Kadison and John R.

Quantum Hamming Metrics Kadison and John R

Reference 17

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.412201Z digest=sha256:6ca9788bb88a324b31b6dc225be0d495b9165a19d8a71a9a58a09fbe1d548447

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

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.415088Z digest=sha256:3c1a5230433683ef0f6877c39cbaf5cdd1129e218ea9535ce666dfa3ad9502ab

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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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.418008Z digest=sha256:13993443b991b70dc35dd7f1b4342df0c888a01bff5658446106f2084c27c08d

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.421943Z digest=sha256:732394925942cd2e6fc3aec3c7f8a870e9861554ecdc81b34ffb1594f841130e

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

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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=sha256:3f27479c33b097f3952c6a5f349fe9c37d5c8da4b005100413f2f95284fd79f5

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.428428Z digest=sha256:a4e8dd0bb25f62eae5b3b69165aeaff71b9a19631211b356b5abb0315a600a67

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.431893Z digest=sha256:b3210b6e9dae5d01d337ae5fabd6f660f17ebfb9d207faff4c5391c55b1fa0a0

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.435588Z digest=sha256:7644faa9e985defe0dd72c0df79faae42724430a041907f9ef476976db8de120

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.439582Z digest=sha256:0d390bf34fbfc19415a7a3ed19675cf82c05d5bc3234e4655d916096cf66af41

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.442708Z digest=sha256:e43fb84e81de63275501ddd8897b176e0f2698694bd4c689ac4e52055b17d00a

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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unresolved
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=sha256:94f0293821ea2521d3622cccc1384b24b2efb9650343e2685b6834fbecb1f02c

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

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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.452633Z digest=sha256:499436867477833eeeab12e387415d10188f81505f24b4ed63bab9722feb89ea

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.456001Z digest=sha256:827ddffd89358d11407d93c0585531606b60407c2c0ce2904598742bc3af4389

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
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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.459536Z digest=sha256:9e70ecf13f56e67a51a69ed544d8d8e5f43fc282ba296b0e9eb9ff0836237335

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.462905Z digest=sha256:19b976717b3336def61bde49f0d20147e13ac5229fbcf4237ca29bdb82a35e3d

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.470489Z digest=sha256:9996eb1194bae16790be018a030776a1c0b28027890db5b401a4ecf5f02f36a6

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.474570Z digest=sha256:24dc4a55fe7ee67a0c21838f154ea312558a574d1d5bed408e67db056a713abb

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:e07e93f6535a93e6a3ec1ea9c5eff64d71e62cfcda4c22b30053acd7b3fb35c6

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

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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.481049Z digest=sha256:06a03fac9cea37e363b798810db1f78c6b1140b14b15f23bdc92664af1fa23bc

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
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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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-06T11:18:19.484016Z digest=sha256:bb69e237fa29c5a662ca9d85f09d76428e94b5b993e540aca96daac2e506172f

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=sha256:6a45317c75804283c722d1e7f0581a916a776694c638f50cb340a8c2f65ac984

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-07T14:30:45.396463Z digest=sha256:9fcd8c73b8613faf03d4c356298c6d648b32d56d78c851b78a0805075ed25520