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Paper Citation Record · LEDGER

Stark-Coleman Invariants and Quantum Lower Bounds: An Integrated Framework for Real Quadratic Fields

As of 8 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2506.07640.

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

pith.paper-citation-record.v1
2506.07640 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:36:51.007594Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

16 of 16 outbound references displayed

  • verified exact0
  • verified fuzzy7
  • unresolved9
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ccabcae0-378b-49dc-b457-9cb2bb1b439e · outbound

This paper cites an unresolved cited work.

Stark-Coleman Invariants and Quantum Lower Bounds: An Integrated Framework for Real Quadratic Fields Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:36:51.410915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 62a4ed4e-0ce8-492c-8e91-7e5eff105bc8 · outbound

This paper cites an unresolved cited work.

Stark-Coleman Invariants and Quantum Lower Bounds: An Integrated Framework for Real Quadratic Fields Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:36:51.393910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 3abdb17a-9057-40ff-9478-e99e134d4692 · outbound

This paper cites an unresolved cited work.

Stark-Coleman Invariants and Quantum Lower Bounds: An Integrated Framework for Real Quadratic Fields Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:36:51.373569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation b36ba576-aeda-4adf-8c00-b7f8d393c7ee · outbound

This paper cites an unresolved cited work.

Stark-Coleman Invariants and Quantum Lower Bounds: An Integrated Framework for Real Quadratic Fields Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:36:51.356923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 1c8b078d-9580-4537-9bc2-703311a255b3 · outbound

This paper cites Comput.37(1) (2007), 210–239.

Stark-Coleman Invariants and Quantum Lower Bounds: An Integrated Framework for Real Quadratic Fields Comput.37(1) (2007), 210–239

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:36:51.336210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:36:50.931203Z digest=sha256:43ff756cd5588c3742609b28703c58e444e7bf0ca0b05793de5376cb285486ab

Observation 0bdaee77-6a1c-4dc9-9788-8c8d70b9458a · outbound

This paper cites an unresolved cited work.

Stark-Coleman Invariants and Quantum Lower Bounds: An Integrated Framework for Real Quadratic Fields Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:36:51.312459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:36:50.940352Z digest=sha256:a3110c5fe1475244f4731cf6ec852b778f257e0edc799ba568b36049224a68a1

Observation cbd3a1de-ead9-4310-991d-676d5c380ea7 · outbound

This paper cites Comput.26(5) (1997), 1484–1509.

Stark-Coleman Invariants and Quantum Lower Bounds: An Integrated Framework for Real Quadratic Fields Comput.26(5) (1997), 1484–1509

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:36:51.284313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:36:50.948740Z digest=sha256:b13e75c5c277a90c5e058e69a76700aeef6d21cc3a5f91297fd6e5e7cf10beb8

Observation 7876fe5c-7ece-443e-9b5f-da5d9674fb8c · outbound

This paper cites Phys.8(2025), 208.

Stark-Coleman Invariants and Quantum Lower Bounds: An Integrated Framework for Real Quadratic Fields Phys.8(2025), 208

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:36:51.254508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:36:50.956361Z digest=sha256:8be110e1d07db86945c210555faf0b1b7b2d67e55e6104af4ff6bdd870a57368

Observation c133683f-3ce2-433c-b152-fa63181bc62c · outbound

This paper cites an unresolved cited work.

Stark-Coleman Invariants and Quantum Lower Bounds: An Integrated Framework for Real Quadratic Fields Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:36:51.225591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:36:50.963776Z digest=sha256:9e493bf20b91da4db51d76169d3d6ba742e9814b49fd776247c7ba178c0bd940

Observation 6c105c1e-d473-4f48-aaa7-dbbf6975bf1d · outbound

This paper cites Comp.74(252) (2005), 2017–2026.

Stark-Coleman Invariants and Quantum Lower Bounds: An Integrated Framework for Real Quadratic Fields Comp.74(252) (2005), 2017–2026

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:36:51.199190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:36:50.969550Z digest=sha256:c5ef83e6b1d19694808aaf9a039ee6ec7c6626fb8f8449c424cacca0b9dcb3cb

Observation 7429f3bb-7361-4a0f-9865-6b9693bf527f · outbound

This paper cites Math.121(1) (1985), 111–168.

Stark-Coleman Invariants and Quantum Lower Bounds: An Integrated Framework for Real Quadratic Fields Math.121(1) (1985), 111–168

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:36:51.174057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation d5f657f5-4437-4e48-afcc-7ca403bc2d4e · outbound

This paper cites H.,On the values of abelian L-functions ats= 0, J.

Stark-Coleman Invariants and Quantum Lower Bounds: An Integrated Framework for Real Quadratic Fields H.,On the values of abelian L-functions ats= 0, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:36:51.143460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T05:36:50.983828Z digest=sha256:ec892cb2b896c2f9b9bfcc2a8840da65a931f8ad74b4cbb2bf4510068f3b0652

Observation f2a27c7e-a76c-4e6d-a3e0-db5f7d3bde95 · outbound

This paper cites Within our theoretical framework, GRH enables three fundamental components:.

Stark-Coleman Invariants and Quantum Lower Bounds: An Integrated Framework for Real Quadratic Fields Within our theoretical framework, GRH enables three fundamental components:

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:36:51.120109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 78fcf685-da6d-48e7-887e-c1de0acaa60a · outbound

This paper cites an unresolved cited work.

Stark-Coleman Invariants and Quantum Lower Bounds: An Integrated Framework for Real Quadratic Fields Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:36:51.099783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 8506796e-1b14-4ab0-abb0-6f6b1fd52879 · outbound

This paper cites an unresolved cited work.

Stark-Coleman Invariants and Quantum Lower Bounds: An Integrated Framework for Real Quadratic Fields Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:36:51.079089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 173b12ab-2f1b-47d4-a18c-ee657d62c336 · outbound

This paper cites an unresolved cited work.

Stark-Coleman Invariants and Quantum Lower Bounds: An Integrated Framework for Real Quadratic Fields Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:36:51.060566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Pith citing papers

No inbound Pith citation observations are available.