Pith Number

pith:VEBCF5QR

pith:2015:VEBCF5QR2UPIOK6HZK6OXSPXE5

not attested not anchored not stored refs pending

Polynomial Approach to Explicit Formulae for Generalized Binomial Coefficients

Fedor Petrov

arxiv:1504.01007 v1 · 2015-04-04 · 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{VEBCF5QR2UPIOK6HZK6OXSPXE5}

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	2026-05-18T02:19:35.389343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a90222f611d51e872bc7cabcebc9f72742e439ebf21f44ab20996d91be42411e

Aliases

arxiv: 1504.01007 · arxiv_version: 1504.01007v1 · doi: 10.48550/arxiv.1504.01007 · pith_short_12: VEBCF5QR2UPI · pith_short_16: VEBCF5QR2UPIOK6H · pith_short_8: VEBCF5QR

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/VEBCF5QR2UPIOK6HZK6OXSPXE5 \
  | 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: a90222f611d51e872bc7cabcebc9f72742e439ebf21f44ab20996d91be42411e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e364bad97dd5c69beaf195b2a93dedc90e7fcb8d26735c2a5a882dc46aeb6d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-04T11:10:37Z",
    "title_canon_sha256": "7e52102a4afe3e549cdecba977afc3a603b5aa967b77a3b6f18d2a5597a899dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.01007",
    "kind": "arxiv",
    "version": 1
  }
}