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Paper Citation Record · LEDGER

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning

As of 20 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2506.10585.

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

pith.paper-citation-record.v1
2506.10585 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:33:10.361968Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

24 of 24 outbound references displayed

  • verified exact2
  • verified fuzzy16
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2225174c-8c27-44af-accb-805535c64132 · outbound

This paper cites Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse,.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning Ueber die Anzahl der Primzahlen unter einer gegebenen Grösse,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:13.955058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 762bd852-1fb6-4af9-be42-8ebab9a5421a · outbound

This paper cites an unresolved cited work.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:33:13.812006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 192c9180-c98e-4163-9676-5dae10a60361 · outbound

This paper cites A method for obtaining digital signatures and public-key cryptosystems,.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning A method for obtaining digital signatures and public-key cryptosystems,

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:13.690435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 883d3b80-d4b3-4d96-a688-c447cb30a094 · outbound

This paper cites Pretrained language models are symbolic mathematics solvers too!.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning Pretrained language models are symbolic mathematics solvers too!

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:13.556929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:33:07.895873Z digest=sha256:dac49cf2678eebe9b631f639b0384cacdc55f08d97b754b9db4e58b90090bb08

Observation 70868804-fdfa-4dc5-b59f-227905a08e87 · outbound

This paper cites The Role of Benchmarking in Symbolic Computation: (Position Paper),.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning The Role of Benchmarking in Symbolic Computation: (Position Paper),

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:13.509922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:33:07.939458Z digest=sha256:7bb1eb7c00be378e7fcbf4541eb0cec9fd64b1aec3be0ea1924c61485111e490

Observation bcb6f867-b0d5-400c-9b43-954c19abeffa · outbound

This paper cites Tree of Thoughts: Deliberate Problem Solving with Large Language Models,.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning Tree of Thoughts: Deliberate Problem Solving with Large Language Models,

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:13.432412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 84f54c48-1974-4c4f-a594-6314082522f0 · outbound

This paper cites an unresolved cited work.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning Unresolved cited work

Reference 7

Resolution
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raw_fallback, observed 2026-08-07T04:33:13.286036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:33:08.237051Z digest=sha256:88f8e63826c1f3bcabccaa55cf7cdf1d95f57e57c46c01bcc68801000a06211c

Observation 6ec013ca-c9e6-4d61-97b5-daded52b716d · outbound

This paper cites an unresolved cited work.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:33:13.034542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:33:08.345926Z digest=sha256:77e7f6236e25327301b9a0b93c3e045d10e0bb42132fee38fa2b31b121b877e4

Observation 1d5becc9-2ce7-4103-958e-0e48bbfea478 · outbound

This paper cites Representation of an odd number as a sum of three primes,.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning Representation of an odd number as a sum of three primes,

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:12.767767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:33:08.494884Z digest=sha256:41462684f5a34ca23cc9b57aabae989474394a00eb6deabe090d79d6d238f7cb

Observation 49cba8ba-50e5-42fd-b033-8ed6aafbbf09 · outbound

This paper cites Github repository for Primender,.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning Github repository for Primender,

Reference 10

Resolution
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raw_fallback, observed 2026-08-07T04:33:12.564525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation ff2396ba-183f-4d9c-b215-0196b390f9b5 · outbound

This paper cites Bounded gaps between primes,.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning Bounded gaps between primes,

Reference 11

Resolution
verified exact
doi, observed 2026-08-07T04:33:10.721457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation ec8145fc-a14a-4d56-a091-7dcfd8495a0a · outbound

This paper cites an unresolved cited work.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:33:12.289619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:33:08.907235Z digest=sha256:c0e85163e1992006d87f90f9ff5df290c0d38524d5105034d1ec90650cdf52de

Observation 56bd38b8-e87c-4934-a87b-550ea1b2a01a · outbound

This paper cites A proof of Bertrand’s postulate,.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning A proof of Bertrand’s postulate,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:12.131332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation ebf2e00b-71dd-48a0-971b-9028ae2e5d1a · outbound

This paper cites Primender Sequence: Numbers that Are Prime or End in Prime,.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning Primender Sequence: Numbers that Are Prime or End in Prime,

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:11.937951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:33:09.151687Z digest=sha256:8165cef6119286ac4de454e830671c4376b0774044107f9f0862a39d7229ab9d

Observation f59cbe25-5b8a-4435-980e-7d4a9e3450da · outbound

This paper cites A384735: Primender Sequence: Numbers that are prime or end in a prime number (of any length),.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning A384735: Primender Sequence: Numbers that are prime or end in a prime number (of any length),

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:11.741938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 769017bc-e83c-409f-abde-0eb9a135a603 · outbound

This paper cites The Primender Playground : A Toolkit for Number-Theory Enthusiasts ,.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning The Primender Playground : A Toolkit for Number-Theory Enthusiasts ,

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:11.592583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:33:09.362225Z digest=sha256:efe3223e6762517a67b356ecb4764eebbc24ca684070b0c7f8fcaa18c5c10d25

Observation 1e9f46f7-5595-436a-a991-236cf1b794e7 · outbound

This paper cites Improving language understanding by generative pre -training,.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning Improving language understanding by generative pre -training,

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:11.421007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:33:09.512457Z digest=sha256:ba3bea1551a875b987cf8b6b29e17989f501b2597c6ddfed9bfab8f201cab3ff

Observation 834d493d-7549-464c-a1b1-1a4d77e237f3 · outbound

This paper cites Attention is all you need,.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning Attention is all you need,

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:11.254558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:33:09.609359Z digest=sha256:e8e96afbfc4b65abde428ea8d15dd4e720fcd1a5e9c8cd26f137e3360c372f91

Observation 3533e506-b603-43af-a6ed-b175b8ae6197 · outbound

This paper cites Comparative Analysis of Top LLMs: GPT-4, Gemini, Claude and More,.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning Comparative Analysis of Top LLMs: GPT-4, Gemini, Claude and More,

Reference 19

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raw_fallback, observed 2026-08-07T04:33:11.103369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 4cb90674-61e0-458d-9bd8-1c70c3f33614 · outbound

This paper cites Humanity’s Last Exam: Evaluating LLM Reasoning,.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning Humanity’s Last Exam: Evaluating LLM Reasoning,

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:33:10.949655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation ce9c893f-3ca8-4f27-9ad9-092d408b2345 · outbound

This paper cites Measuring and Narrowing the Compositionality Gap in Language Models.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning Measuring and Narrowing the Compositionality Gap in Language Models

Reference 22

Resolution
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no resolver link, observed 2026-08-07T04:33:10.196999Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:33:10.196999Z digest=sha256:3d887633a70993a47c41b7337096f37fff102499152296e1ea30d9c6ed6de558

Observation 012409a1-ef0c-483f-898b-837de18ed9c4 · outbound

This paper cites Improving intermediate reasoning in zero -shot chain-of-thought for large language models via Filter -Supervisor Self-Correction,.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning Improving intermediate reasoning in zero -shot chain-of-thought for large language models via Filter -Supervisor Self-Correction,

Reference 23

Resolution
verified exact
doi, observed 2026-08-07T04:33:10.554692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T04:33:10.272612Z digest=sha256:aa7d6f1e32b1874055e6faa54602d396d758f4fac95930e96996a7bc7d60e51c

Observation 2dee652a-27c7-448b-8b79-177b02d62d05 · outbound

This paper cites Self-Refine: Iterative Refinement with Self-Feedback.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning Self-Refine: Iterative Refinement with Self-Feedback

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-07T04:33:10.361968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:33:10.361968Z digest=sha256:40f8e4ca3a341e8a945a861356ed358716fe96db56303f305139b89e4a6303a3

Observation ac697182-88c2-4433-94cd-7a923ff4974c · outbound

This paper cites Available: https://github.com/Anwar -Faiz/primender.

Primender Sequence: A Novel Mathematical Construct for Testing Symbolic Inference and AI Reasoning Available: https://github.com/Anwar -Faiz/primender

Reference 2025

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raw_fallback, observed 2026-08-07T04:33:12.434493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Pith citing papers

No inbound Pith citation observations are available.