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Paper Citation Record · LEDGER

Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels

As of 12 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 5 inbound Pith citation observations for arXiv:2501.12548.

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

pith.paper-citation-record.v1
2501.12548 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T17:12:20.204260Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T12:32:22.407073Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T12:05:33.351505Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact2
  • verified fuzzy7
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9bfe2784-a109-4b35-b79d-f3b0a3c05e3b · outbound

This paper cites Ahlswede and G.

Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels Ahlswede and G

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:12:20.615493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T17:12:20.137053Z digest=sha256:7302958e169942b7b227baf68123707de275723e3df7db75d87bfa26d10e085d

Observation f3b7c872-69da-43e1-aac5-afee47322487 · outbound

This paper cites an unresolved cited work.

Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:12:20.605728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T17:12:20.141478Z digest=sha256:098b1634a350c89a5c07bee3f23a95fd04dcfcba9244c6aea18f5a4efaa044a8

Observation 1ef5d7a5-480b-4f1d-8376-4fad48299d2a · outbound

This paper cites JaJa, ``Identification is easier than decoding,'' in 26th Annual Symposium on Foundations of Computer Science (sfcs 1985).

Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels JaJa, ``Identification is easier than decoding,'' in 26th Annual Symposium on Foundations of Computer Science (sfcs 1985)

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:12:20.595590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T17:12:20.145403Z digest=sha256:65beabbccd7889172cd8bce36b1cc47aa833af558908b34740f891d48fae9a58

Observation 13eac569-6b73-41ae-929f-6cf3b5502b98 · outbound

This paper cites an unresolved cited work.

Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:12:20.585147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T17:12:20.150079Z digest=sha256:4c521ed8ee22e60bd6ca0efb5637da11c81f2f375a43f1f11bd7a834f18e6679

Observation 8b960fc3-efc6-43e2-a478-c3f555db21b5 · outbound

This paper cites Deterministic Identification Codes for Fading Channels.

Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels Deterministic Identification Codes for Fading Channels

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-10T17:12:20.158357Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T17:12:20.158357Z digest=sha256:e047367d24118a7d7484dd3646a0561a7bdc870309797c03a3570fba63c17623

Observation a96c8dd0-5732-4b53-9ad3-cc2b62c643b3 · outbound

This paper cites Chabauty, Resultats sur l'empilement de calottes egales sur une périsphere de R^ n et correction a un travail anterieur , 1953, vol.

Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels Chabauty, Resultats sur l'empilement de calottes egales sur une périsphere de R^ n et correction a un travail anterieur , 1953, vol

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:12:20.574413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T17:12:20.163537Z digest=sha256:76bb24528e08ea298458c31870e0aaf58d40cc13760d3f749cc6bb1889c1e5ce

Observation 1a44fd63-b3d4-49a2-9bb3-30fa5cdb0016 · outbound

This paper cites an unresolved cited work.

Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:12:20.563824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T17:12:20.167565Z digest=sha256:3deaf1a2f94c9b3856d3f8963d89766571b128c1bf84b1fc14b88745cc1f1e9b

Observation 166d0bf8-be0f-410f-9604-65adb13f9ed1 · outbound

This paper cites an unresolved cited work.

Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:12:20.552987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T17:12:20.171176Z digest=sha256:b9b8bfc3994b1c5aa6a796d6770232d2923763c383cc8da02d8993c360927b6b

Observation dde2ade7-7fc1-40f9-a2a7-e4e2a732dbdc · outbound

This paper cites Deterministic Identification Over Fading Channels,.

Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels Deterministic Identification Over Fading Channels,

Reference 10

Resolution
verified exact
raw_fallback, observed 2026-08-10T17:12:20.459755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T17:12:20.174742Z digest=sha256:e202b05a1920a7dcd66b6086ecfc88cc5404026d307553fac471f1b5847583d0

Observation 45b8f242-1a0e-400c-b7e7-40107c6c1c5c · outbound

This paper cites an unresolved cited work.

Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-10T17:12:20.541132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T17:12:20.178810Z digest=sha256:ec8b9a60ab84fd84a07999390849cdd312e523dd608ce501a77bbce0787f56e1

Observation d667d354-c210-46b9-bae0-f7460f13a299 · outbound

This paper cites 379-423, 623-656, July, October 1948.

Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels 379-423, 623-656, July, October 1948

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:12:20.529300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T17:12:20.182268Z digest=sha256:9f839cbeab919e572578a78339939f93f9af1bba026a367672b8a07bb3696b5c

Observation 573462f5-6d47-4f88-a580-0e91f037d937 · outbound

This paper cites an unresolved cited work.

Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-10T17:12:20.186459Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T17:12:20.186459Z digest=sha256:305b7878f87da3c9f7a18af63e5c1b5e8b5623e4be3d796117069bfb479653e5

Observation 0cb0ccfa-2afb-4866-bd93-97a3d179c8f7 · outbound

This paper cites Deterministic Identification Codes for Fading Channels.

Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels Deterministic Identification Codes for Fading Channels

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:12:20.518406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T17:12:20.190724Z digest=sha256:0b18f60a67cc9d332e8a3d5f4dc7f517fb05f7558c6fbdbdc5384f9e38c9cd52

Observation fd739eec-e569-41bd-ace1-048da1a05330 · outbound

This paper cites Sphere packing bounds via spherical codes.

Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels Sphere packing bounds via spherical codes

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:12:20.507019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T17:12:20.194034Z digest=sha256:d5c486f3729f54b44ed8a42288266ce60828714927a870f288da80dfed18788e

Observation b10ea4cb-f40d-433d-a789-d967eb59a7f4 · outbound

This paper cites an unresolved cited work.

Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-10T17:12:20.197487Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T17:12:20.197487Z digest=sha256:0196704a41d10b9f50e2f2e758bd80df6d83c8d9122b0eb2743906b7c76ac753

Observation 80782737-50e8-4aad-afd7-cc2d01384873 · outbound

This paper cites Identification via channels.

Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels Identification via channels

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T17:12:20.496829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T17:12:20.200909Z digest=sha256:91adfd7f3a7056d27c2c56b05960e2cd13b8679f7775c359a493cb059ed01e8f

Observation 08ef2a46-070b-428a-bcaf-fb009cec96a8 · outbound

This paper cites Deterministic Identification Over Channels With Power Constraints.

Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels Deterministic Identification Over Channels With Power Constraints

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-10T17:12:20.485670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-10T17:12:20.204260Z digest=sha256:437e323ea9ee2fa512e6f2b6d4522afe311fe83cb0aa4d76732dacb94e56a820

Pith citing papers

Observation c1d34732-ba69-4994-9536-dbf64dbfbf81 · inbound

Rate-reliability tradeoff for deterministic identification cites this paper.

Rate-reliability tradeoff for deterministic identification Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-09T12:32:22.402782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T12:32:22.402782Z digest=sha256:bfcfffe82dbac218f8e6ab83968ed4bb2a1ad26335cef59dd897918ae4ad0141

Observation 8861482e-8939-49fb-80a0-ab3d3a072835 · inbound

Rate-reliability tradeoff for deterministic identification cites this paper.

Rate-reliability tradeoff for deterministic identification Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-09T12:32:22.407073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T12:32:22.407073Z digest=sha256:47ef8cdc52c720dc92195d5672db889890bf5a076c3d503a315ada23ef4e3f6b

Observation a6587560-8727-4c32-9f0a-22d4fb1211d6 · inbound

Identification for ISI Gaussian Channels cites this paper.

Identification for ISI Gaussian Channels Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-05-15T12:05:33.353635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-15T12:04:36.641199Z digest=sha256:65085f8f125c5a625bbd1350a7b96f31a2e8e1222fcafd0c2145e03b2dd40f5d

Observation d087c718-8e5d-4c58-af9e-0490d3e87deb · inbound

Optimal Codes for Deterministic Identification over Gaussian Channels: Closing the Capacity Gap cites this paper.

Optimal Codes for Deterministic Identification over Gaussian Channels: Closing the Capacity Gap Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-05-11T11:31:00.782680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T14:51:37.931090Z digest=sha256:2139bd612527fd224935766236fb1cf56b5e442b2a04b5e795e99197872fcccb

Observation 43cb5b46-ad7d-4669-9c4b-06aa36d166e4 · inbound

Deterministic identification for Bernoulli channels and related channels with continuous input cites this paper.

Deterministic identification for Bernoulli channels and related channels with continuous input Galaxy Codes: Advancing Achievability for Deterministic Identification via Gaussian Channels

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-05-11T18:26:11.993553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-08T15:57:20.704185Z digest=sha256:fdc0fc583aa343a8da4bd93c8fd9298085e0bea7031460b44ac58f662ef5adab