Pith Number

pith:CWOZ74TU

pith:2024:CWOZ74TUYLLXMDRRKJZ74OL4GV

not attested not anchored not stored refs pending

Jacob's ladders, almost linear increments of the Hardy-Littlewood integral (1918) and their relation to the Titchmarsh's sums (1943) and the Fermat-Wiles theorem

Jan Moser

arxiv:2401.03781 v1 · 2024-01-08 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CWOZ74TUYLLXMDRRKJZ74OL4GV}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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, $\zeta$-transformation of the Fourier orthogonal system (2014) and new infinite sets of $\zeta$-equivalents of the Fermat-Wiles theorem

Receipt and verification

First computed	2026-07-05T07:31:13.747668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

159d9ff274c2d7760e315273fe397c357d127d98a52d3274eab894d06c185544

Aliases

arxiv: 2401.03781 · arxiv_version: 2401.03781v1 · doi: 10.48550/arxiv.2401.03781 · pith_short_12: CWOZ74TUYLLX · pith_short_16: CWOZ74TUYLLXMDRR · pith_short_8: CWOZ74TU

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/CWOZ74TUYLLXMDRRKJZ74OL4GV \
  | 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: 159d9ff274c2d7760e315273fe397c357d127d98a52d3274eab894d06c185544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4d919e8eea75356128e393537b46231910b1226237675bf8a1e5e2f5fe5d83e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-01-08T10:03:56Z",
    "title_canon_sha256": "9637cbd496f99d1a0c0adef662c983c13b8070ee0d76947002579dd155939ae5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.03781",
    "kind": "arxiv",
    "version": 1
  }
}