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Paper Citation Record · LEDGER

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

As of 12 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:33:07.895873Z digest=sha256:9d7480b74fa1dd37d4f6929665a2f54c4f474600e7dd93a34ef575303087505e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:33:07.939458Z digest=sha256:efbdff51600243d90a2ae0482ba6dd0fcf6986cd66067cc9a36c9db715b4924b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:33:08.113828Z digest=sha256:2d044734f4531c79b2fa3b01011327566e541f6c3ebbfc5304ce46e72bcf6b97

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
unresolved
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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:33:08.237051Z digest=sha256:f0196aa6914323c528e99606add4b66b4ab3ae58e2af4b8da809cb53363d5c68

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:33:08.345926Z digest=sha256:72e249e2df9ec789327eaadff8ed7f286bf404317dd75f8128d4f7ce70bf2515

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:33:08.494884Z digest=sha256:3d716cd0b3219504446500224f09a22b582affe12ff1b2305794ff4bcfac9b9d

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
verified fuzzy
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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:33:08.592613Z digest=sha256:5f9d1fb3be5544e284ce95517201216f48c429bf026c011bf5b554412e301d34

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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:33:08.907235Z digest=sha256:ef9711aa15b96a24cc743ceedde081bcb96dcf1f63075d4fbfec9b828def7a9d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:33:09.010130Z digest=sha256:f7074f05910c47d6b9bdf60b23d74a75fe43b85e82f55303fdcc6ee6cbfdca78

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:33:09.151687Z digest=sha256:4fbc811f56311e9c43751787a631f83e7cc56ddea49b783ee28f1b930e1a20b4

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:33:09.262142Z digest=sha256:4a024ce9b22f3eaac8ebbddb0b5a03b7b8f10224a93ed109a25bf2c41d7a7bc8

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:33:09.362225Z digest=sha256:9c2d928a1a011e32fc685629ae38e883ca3be3747730189cec180c50d2493dfa

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:33:09.512457Z digest=sha256:9f0f53588f373bce0c4c4c748178941a368f9c6bad99c29c99a2bb45e587580f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:33:09.609359Z digest=sha256:9028d219f6de742f8dac8606f6e2efbd543ad7ea6c0f2bd5ff694a990a3969d6

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

Resolution
verified fuzzy
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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:33:09.949327Z digest=sha256:8ba75cb3105cabf616801cb73343fdf0101e6265e8ecf41838b6ac862ac78e52

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=sha256:51abf6be950d7bef90e2e0c1d6583b49accbb0e6c0f63aa5a82908fcf8ca0467

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T04:33:10.272612Z digest=sha256:b487be11492fa6e4fb558c3e8ebeb36d99f024cca13bc49ca856bee10274395c

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=sha256:78c7e4825ae9ca939ec3fbacb38f5ed5495a90cd99ec9a980ae52de11ab8be58

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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verified fuzzy
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 2026-08-12T06:34:41.77262+00:00.

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Pith citing papers

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