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Paper Citation Record · LEDGER

Quantum chaos, localization and phase transitions in random graphs

As of 18 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2412.14722.

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

pith.paper-citation-record.v1
2412.14722 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:01:06.480309Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy16
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 40b5accb-e643-4d37-80d7-3bd5e0570938 · outbound

This paper cites Erd˝ os, T.

Quantum chaos, localization and phase transitions in random graphs Erd˝ os, T

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:06.906311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation b9c5912f-4565-4ee9-8128-5ea4d5337ab8 · outbound

This paper cites Aigner, E.

Quantum chaos, localization and phase transitions in random graphs Aigner, E

Reference 2

Resolution
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no resolver link, observed 2026-08-11T12:01:06.364300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:01:06.364300Z digest=sha256:27157891bad8c440e1d043c283c30be0affdb0a321ec26a664bac5a5b069a846

Observation ab6451f0-9950-437c-bc70-db775b57902a · outbound

This paper cites an unresolved cited work.

Quantum chaos, localization and phase transitions in random graphs Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:01:06.870685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 6ec695b3-6fd1-4450-a8b5-410af2a2b016 · outbound

This paper cites an unresolved cited work.

Quantum chaos, localization and phase transitions in random graphs Unresolved cited work

Reference 4

Resolution
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no resolver link, observed 2026-08-11T12:01:06.373157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:01:06.373157Z digest=sha256:10344b3af73102f2e5aa284d308255174cc54bc03b432a3e343ece4b5fa0a3a0

Observation 656faba3-0d9d-4179-87b6-722c6974450d · outbound

This paper cites Frieze, M.

Quantum chaos, localization and phase transitions in random graphs Frieze, M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:06.848541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:01:06.377720Z digest=sha256:44dce66ea1891f7977e7ae85d5cc06ae314d6915342da15370208c6b0b8bf73d

Observation 02f4bf94-b934-40a1-a3ba-9f1b6b6b682f · outbound

This paper cites Berg and M.

Quantum chaos, localization and phase transitions in random graphs Berg and M

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-11T12:01:06.383525Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:01:06.383525Z digest=sha256:22df5fbc481f91f6f85366f2c9af3e2e7e818cedaba8a2bc497101acfab8dd63

Observation 8c8f128e-81f3-4309-a99d-d1c1ad91b215 · outbound

This paper cites Mizutaka and T.

Quantum chaos, localization and phase transitions in random graphs Mizutaka and T

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:06.821241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:01:06.389079Z digest=sha256:0a1a29cca90f26bacec4c86717e4d4b565250f39a968a051b8896824ee5805ad

Observation 347a6af5-9a49-4c0c-8e36-41ab3f72580c · outbound

This paper cites Kleftogiannis and I.

Quantum chaos, localization and phase transitions in random graphs Kleftogiannis and I

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-11T12:01:06.393939Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:01:06.393939Z digest=sha256:f98a88eb6ae03ed97f8525132672adeb6233fb1596bd41ae105af816a740f3d4

Observation 4e83d642-b73d-4f67-bd5e-26763411e877 · outbound

This paper cites Emergent spacetime from purely random structures.

Quantum chaos, localization and phase transitions in random graphs Emergent spacetime from purely random structures

Reference 9

Resolution
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no resolver link, observed 2026-08-11T12:01:06.397865Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:01:06.397865Z digest=sha256:9274fc73abb4333f530d55b1103fa3688014ecc0031afc9ebd720b3aac3a5e3b

Observation 47e61c74-fe80-49f7-829e-8001543f50a8 · outbound

This paper cites an unresolved cited work.

Quantum chaos, localization and phase transitions in random graphs Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:01:06.796084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:01:06.402314Z digest=sha256:28fddf39bdebcddcc04e2a0a3354a16b8dfdb7f5035f9077de37a59e97293d74

Observation 5c4e91f6-7fbe-4601-ba3f-74cff6bc0626 · outbound

This paper cites Evangelou, Phys.

Quantum chaos, localization and phase transitions in random graphs Evangelou, Phys

Reference 11

Resolution
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raw_fallback, observed 2026-08-11T12:01:06.781248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:01:06.406496Z digest=sha256:7c544c54badbcb1f326f9d1677f7a6a720c9ea69b3ac62399bb660162a34a45a

Observation 206eb935-2955-46a7-9de6-a98b1f48c364 · outbound

This paper cites an unresolved cited work.

Quantum chaos, localization and phase transitions in random graphs Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:01:06.768428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 1af6c6f2-14f7-478d-83b2-7725170c6523 · outbound

This paper cites Mirlin Phys.

Quantum chaos, localization and phase transitions in random graphs Mirlin Phys

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:06.756448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:01:06.418829Z digest=sha256:28bddb0339eef4c0f22052254f35293b5f2852acedf27ec6ef5eec9fc0200c44

Observation 11ba12e4-b68e-41a3-904a-873fcc51a5e3 · outbound

This paper cites Amanatidis, I.

Quantum chaos, localization and phase transitions in random graphs Amanatidis, I

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:06.742460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:01:06.423375Z digest=sha256:53ecf934c84467cc73568a9f6cf1ee1e38b7e01063df0ee585b6a4da3684f8b7

Observation 21e39035-7eb7-4730-9117-eb39e7d0087f · outbound

This paper cites Amanatidis and S.

Quantum chaos, localization and phase transitions in random graphs Amanatidis and S

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:06.729772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 6ebfccc9-3764-4fbc-b201-8f489fecb440 · outbound

This paper cites an unresolved cited work.

Quantum chaos, localization and phase transitions in random graphs Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-11T12:01:06.710705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 084a92b9-b725-47d3-ae58-89e16b88fe7b · outbound

This paper cites Berry, New Scientist 44, 47 (1987).

Quantum chaos, localization and phase transitions in random graphs Berry, New Scientist 44, 47 (1987)

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:06.698395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation a52fb2ce-b74a-4de3-9ab3-f892aa60d7ce · outbound

This paper cites St¨ ockmann and J.

Quantum chaos, localization and phase transitions in random graphs St¨ ockmann and J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:06.684547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:01:06.441178Z digest=sha256:6d5a967d52ec65259506aeea337ac2ee186fe265793cad1f1e7083d0b7c392d8

Observation bdbcc981-b1ea-4ab1-b496-4f2dfb797714 · outbound

This paper cites Courtney, H.

Quantum chaos, localization and phase transitions in random graphs Courtney, H

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:06.668490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:01:06.445274Z digest=sha256:1b2cf4bfbbf44350965aeb558e252923d02f2f5faeea7f615bdf038d2bd1760f

Observation 2feeb80d-4bc0-4a8f-9c0c-2031f1adf578 · outbound

This paper cites Nakamura and T.

Quantum chaos, localization and phase transitions in random graphs Nakamura and T

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:06.653674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 5c71a6f6-1a6d-441e-9d41-2bfc99ce5f65 · outbound

This paper cites Kottos and U.

Quantum chaos, localization and phase transitions in random graphs Kottos and U

Reference 21

Resolution
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raw_fallback, observed 2026-08-11T12:01:06.638709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:01:06.453440Z digest=sha256:c2f35d06dbd262839b8c8cc9e137276304b7a542d8596c43ce2e365bbabab813

Observation 264a98cf-9c65-430d-9aa2-0863bc97bd36 · outbound

This paper cites Kottos, U.

Quantum chaos, localization and phase transitions in random graphs Kottos, U

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:01:06.624141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:01:06.457795Z digest=sha256:a756815c7a64c382a1292edfc1ff681f7137b89ef932897ff32c950b9adf8827

Observation 4ca88d4d-dc5d-46eb-9154-bbca2e9e98dc · outbound

This paper cites Haake, Quantum Signatures of Chaos (Springer), (201 0).

Quantum chaos, localization and phase transitions in random graphs Haake, Quantum Signatures of Chaos (Springer), (201 0)

Reference 23

Resolution
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raw_fallback, observed 2026-08-11T12:01:06.600717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 1a109948-a3e5-4470-a353-c7260c70e3cd · outbound

This paper cites Smilansky, Chaos.

Quantum chaos, localization and phase transitions in random graphs Smilansky, Chaos

Reference 24

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:01:06.468259Z digest=sha256:1839eb9ace8c1e4c7858754df75b9b0f5dda931690d2fd9ac39bac173de3c3a3

Observation 9516de96-f690-4e9e-a46b-89185076a96f · outbound

This paper cites Quantum Chaos in Random Ising Networks.

Quantum chaos, localization and phase transitions in random graphs Quantum Chaos in Random Ising Networks

Reference 25

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no resolver link, observed 2026-08-11T12:01:06.472988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:01:06.472988Z digest=sha256:508dc211fba4fd509d4a1d9fd8e5667c247fa3275769b564b1c807a9a37332e2

Observation 3605051e-7e8e-4579-b449-87effbed89d6 · outbound

This paper cites Pournaki, E.

Quantum chaos, localization and phase transitions in random graphs Pournaki, E

Reference 26

Resolution
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raw_fallback, observed 2026-08-11T12:01:06.558855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Pith citing papers

No inbound Pith citation observations are available.