Pith Number

pith:BYOWVFJO

pith:2013:BYOWVFJOGXWESEH4CTB5IPREXV

not attested not anchored not stored refs pending

Mod-phi convergence I: Normality zones and precise deviations

Ashkan Nikeghbali, Pierre-Lo\"ic M\'eliot, Valentin F\'eray

arxiv:1304.2934 v4 · 2013-04-10 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYOWVFJOGXWESEH4CTB5IPREXV}

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	2026-05-18T00:50:58.143753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e1d6a952e35ec4910fc14c3d43e24bd7d984ae9758ae8fc6ca517ff51a465d9

Aliases

arxiv: 1304.2934 · arxiv_version: 1304.2934v4 · doi: 10.48550/arxiv.1304.2934 · pith_short_12: BYOWVFJOGXWE · pith_short_16: BYOWVFJOGXWESEH4 · pith_short_8: BYOWVFJO

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/BYOWVFJOGXWESEH4CTB5IPREXV \
  | 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: 0e1d6a952e35ec4910fc14c3d43e24bd7d984ae9758ae8fc6ca517ff51a465d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da8cc195932c46ea24c3257b05b6c7db4b46cc14c04f40be400438f922f365a5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-10T12:29:29Z",
    "title_canon_sha256": "1354fa261628441d03806abca0cd7bd504259646978b9a17189d60a31075d786"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2934",
    "kind": "arxiv",
    "version": 4
  }
}