Paper Citation Record · LEDGER

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

As of 7 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 2026-08-07T06:34:17.273281+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
metadata mismatch0

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

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 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.