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Paper Citation Record · LEDGER

The ring wants to be broken

As of 23 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 2 inbound Pith citation observations for arXiv:2607.01967.

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

pith.paper-citation-record.v1
2607.01967 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-03T03:20:42.325759Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T05:28:43.935134Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-08T19:25:32.360656Z

Reference resolution

16 of 16 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 667b8099-cd4a-4d11-b169-6e10af12cb95 · outbound

This paper cites certainty.

The ring wants to be broken certainty

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:11:11.867501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T03:20:42.325759Z digest=sha256:681df7f2e079ae75fe3d274e9dab0edbb255b9cf40297293e83e34dce69d9094

Observation 9aaa531e-3086-415e-a115-18f13cb47130 · outbound

This paper cites Fortunato, Phys.

The ring wants to be broken Fortunato, Phys

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:21:13.339323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T03:20:42.325759Z digest=sha256:f08e857a81c046187f09be2166a04f4bf0cff427f40c4df33739d18318384ad8

Observation a4bd4626-14f1-4173-a07e-65b5169deefc · outbound

This paper cites Fortunato and D.

The ring wants to be broken Fortunato and D

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:21:13.325663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T03:20:42.325759Z digest=sha256:d623e982aedbc8fdd34602f19de03770b92777e66f6da71c0b0ee6411d4d9955

Observation dd6dc846-4a57-40c4-9955-d1b4096abd27 · outbound

This paper cites Girvan and M.

The ring wants to be broken Girvan and M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:21:13.336162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T03:20:42.325759Z digest=sha256:1389669f824000ebe56891230e80c3430487f87e4e86d36ca446fb00b2875718

Observation da269971-01f5-4efe-85d8-18153916593d · outbound

This paper cites an unresolved cited work.

The ring wants to be broken Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-07-05T15:21:13.318750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T03:20:42.325759Z digest=sha256:cb1baf9129d079a4aedff7c3a0d1a1c383cac023163058e50bf4c73e0dfa2a32

Observation a0f0ab9a-75d2-4ac3-be13-1a410f2e11a2 · outbound

This paper cites an unresolved cited work.

The ring wants to be broken Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-07-05T15:21:13.315791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T03:20:42.325759Z digest=sha256:584f89baaba73c38a2129a59322e141ef42aba3b6f26853ce0d0af0135380573

Observation 59470ef8-bccd-488e-a8ff-ffac0ec6533c · outbound

This paper cites Rosvall and C.

The ring wants to be broken Rosvall and C

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:21:13.322166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T03:20:42.325759Z digest=sha256:124e8d79567e9e6fe3fba8746e4162061af7581856ff6a040c977515e62c17a4

Observation b24a2577-8358-4e1d-ab74-f53e12cca980 · outbound

This paper cites an unresolved cited work.

The ring wants to be broken Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-07-05T15:21:13.309709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T03:20:42.325759Z digest=sha256:6ddd2b289739302a7e31ce711008d8e79abcaa589004c0aaef32e7e36af14ba8

Observation 4ecb4ecf-1a8c-4c3a-8f7f-a611a895b949 · outbound

This paper cites Karrer and M.

The ring wants to be broken Karrer and M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:21:13.328792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T03:20:42.325759Z digest=sha256:2f57ba2f42b56e47a6b95ccecaa8babb4119833076c9f6327f06d364b10c62a7

Observation c69a3437-b52f-4a93-856c-e4b0743b4728 · outbound

This paper cites Decelle, F.

The ring wants to be broken Decelle, F

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:21:13.345093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T03:20:42.325759Z digest=sha256:d7871ec95c6fef92237fed4a6feb4b5d17e25defcdcecfdfe5419a9e5d84dcf2

Observation 52df38cc-f45a-483f-bb61-a8b686a5e685 · outbound

This paper cites an unresolved cited work.

The ring wants to be broken Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-07-05T15:21:13.312468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T03:20:42.325759Z digest=sha256:a6ca3149a659417784ecac4195d5ebb157d04ed7ac8342d41521696fadee6f6c

Observation 3767f7e8-fe3d-414e-b909-77721f96da30 · outbound

This paper cites an unresolved cited work.

The ring wants to be broken Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-07-05T15:21:13.341888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T03:20:42.325759Z digest=sha256:077b7c1a457bfffc7bdbb6af1b69474c32c27a2db07f2ef4bb2424ef19727227

Observation c1441c84-1640-48f7-a986-97925a65b3bf · outbound

This paper cites Vazquez, Phys.

The ring wants to be broken Vazquez, Phys

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:11:11.177131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T03:20:42.325759Z digest=sha256:a7697726b6470bf6564830c3e395acc2fe9dcc988beae0ddbc6eb2a7bc9f35a7

Observation 260ee071-e59d-4e87-995f-ba8a3b4d85ac · outbound

This paper cites Vazquez, Phys.

The ring wants to be broken Vazquez, Phys

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T15:21:13.332781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T03:20:42.325759Z digest=sha256:0ae9bc1f8e0cf83e4cc62bc37da3a6c37296bf836490b2f28592956fc73ea31d

Observation 9a890cb4-14ab-44e3-8c00-ee21268d5b94 · outbound

This paper cites an unresolved cited work.

The ring wants to be broken Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-07-05T15:21:13.306828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T03:20:42.325759Z digest=sha256:c4a09db8e978dbd7a9ef0d4311ee7493728c75ea3009282b065c4067d61f5ddb

Observation 25b14cec-d657-4edf-80cb-9af9d79aa20e · outbound

This paper cites an unresolved cited work.

The ring wants to be broken Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-07-05T15:21:13.303546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-03T03:20:42.325759Z digest=sha256:a4bdb683ae855b9ac4cab3331f9d09df67dd106c3ce073796fd897e151d14298

Pith citing papers

Observation f03ced78-8bf8-4390-a17b-6099117e8229 · inbound

Community structure of the pseudofractal web cites this paper.

Community structure of the pseudofractal web The ring wants to be broken

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-12T05:28:43.935134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T05:28:43.935134Z digest=sha256:bf5d008a258ad35d84a680734ef62a59dc850faf4832cce8c998ac806817b58c

Observation 99479000-a7f7-4e55-a0b5-12e0846280e6 · inbound

The Ramsey community number as a renormalization-group crossing cites this paper.

The Ramsey community number as a renormalization-group crossing The ring wants to be broken

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-07-08T19:25:32.361762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-08T19:20:39.510790Z digest=sha256:a7590e0bd241c81d9a885dbfdcb978bfc091c0e2b95c01017f9cf729217cdcd4