Pith Number

pith:CKLNPL2N

pith:2024:CKLNPL2NZ6PKEAUYMSSTJEGYYM

not attested not anchored not stored refs pending

Jacob's ladders, Hardy-Littlewood integral (1918) and new asymptotic functional equations for Euler's Gamma function together with the tenth equivalent of the Fermat-Wiles theorem

Jan Moser

arxiv:2403.17522 v1 · 2024-03-26 · math.NT · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKLNPL2NZ6PKEAUYMSSTJEGYYM}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Jacob's ladders and three new equivalents of the Fermat-Wiles theorem and an infinite set of these equivalents that are independent on the Jacob's ladders

Receipt and verification

First computed	2026-07-05T08:00:51.780082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1296d7af4dcf9ea2029864a53490d8c330c820882e78c61019799d308e886e57

Aliases

arxiv: 2403.17522 · arxiv_version: 2403.17522v1 · doi: 10.48550/arxiv.2403.17522 · pith_short_12: CKLNPL2NZ6PK · pith_short_16: CKLNPL2NZ6PKEAUY · pith_short_8: CKLNPL2N

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CKLNPL2NZ6PKEAUYMSSTJEGYYM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1296d7af4dcf9ea2029864a53490d8c330c820882e78c61019799d308e886e57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eee81ba74b2c5b0477befad837146ead972ca5110eb5f48da499cf85db12eb6",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-03-26T09:24:31Z",
    "title_canon_sha256": "d2b7b861e507083b0a58b4c7bab7ff4e453ade1199efa23eb0877ad56c45f6ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.17522",
    "kind": "arxiv",
    "version": 1
  }
}