Pith Number

pith:YOWUW4R6

pith:2025:YOWUW4R6AWB5Q6EFTB7QASLDWO

not attested not anchored not stored refs pending

Chebyshev's bias without linear independence

Mounir Hayani

arxiv:2512.23302 v3 · 2025-12-29 · 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{YOWUW4R6AWB5Q6EFTB7QASLDWO}

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.

Receipt and verification

First computed	2026-06-26T01:15:48.140444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3ad4b723e0583d87885987f004963b38880cf9070b13f225f380459052f9c42

Aliases

arxiv: 2512.23302 · arxiv_version: 2512.23302v3 · doi: 10.48550/arxiv.2512.23302 · pith_short_12: YOWUW4R6AWB5 · pith_short_16: YOWUW4R6AWB5Q6EF · pith_short_8: YOWUW4R6

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/YOWUW4R6AWB5Q6EFTB7QASLDWO \
  | 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: c3ad4b723e0583d87885987f004963b38880cf9070b13f225f380459052f9c42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8c51639193596212ccb00ef9f78fea7e72a1ab93ed65196b4f4b8419d515156",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-12-29T08:44:00Z",
    "title_canon_sha256": "985c508d8f85c5eeb79820bcf5f21fffbac05b1953a3a558df46d34f1758bb64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.23302",
    "kind": "arxiv",
    "version": 3
  }
}