Pith Number

pith:YNP3HM72

pith:2012:YNP3HM72IS4ZCKM2YJLMQHMB5R

not attested not anchored not stored refs pending

A probabilistic interpretation of the Volkenborn integral

A. Bhandari, C. Vignat

arxiv:1201.3701 v1 · 2012-01-18 · 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{YNP3HM72IS4ZCKM2YJLMQHMB5R}

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	2026-05-18T04:04:18.278370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c35fb3b3fa44b991299ac256c81d81ec552f7b885da2757d6af8c84ae5b119c3

Aliases

arxiv: 1201.3701 · arxiv_version: 1201.3701v1 · doi: 10.48550/arxiv.1201.3701 · pith_short_12: YNP3HM72IS4Z · pith_short_16: YNP3HM72IS4ZCKM2 · pith_short_8: YNP3HM72

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/YNP3HM72IS4ZCKM2YJLMQHMB5R \
  | 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: c35fb3b3fa44b991299ac256c81d81ec552f7b885da2757d6af8c84ae5b119c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f02cdae4a5779b10fb91cd43ec370e9bbceaf8e692639148618a0a9b312279e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-18T06:18:07Z",
    "title_canon_sha256": "cc53500496e597e51e89e17850fa9e4562a968226ef9823dcd3f3861336ef521"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3701",
    "kind": "arxiv",
    "version": 1
  }
}