Pith Number

pith:Z7IWB3F5

pith:2017:Z7IWB3F5DL5EO6WLMI2FWAEJJS

not attested not anchored not stored refs pending

Beta-Function Identities via Probabilistic Approach

A. Zeleke, P. Vellaisamy

arxiv:1709.10003 v1 · 2017-09-28 · 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{Z7IWB3F5DL5EO6WLMI2FWAEJJS}

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	2026-05-18T00:34:05.946963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfd160ecbd1afa477acb62345b00894c897cf3fa29b80ce7f08526c34eb1268a

Aliases

arxiv: 1709.10003 · arxiv_version: 1709.10003v1 · doi: 10.48550/arxiv.1709.10003 · pith_short_12: Z7IWB3F5DL5E · pith_short_16: Z7IWB3F5DL5EO6WL · pith_short_8: Z7IWB3F5

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/Z7IWB3F5DL5EO6WLMI2FWAEJJS \
  | 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: cfd160ecbd1afa477acb62345b00894c897cf3fa29b80ce7f08526c34eb1268a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "064739cb11ff7cc901a40397dbd01d116e7a5df919938604b4f65afc0d0ba84a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-28T14:55:25Z",
    "title_canon_sha256": "c906456d166fa08fafaec167ff62fcda0e4068a3e8031fc9ada897c357ebfa5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.10003",
    "kind": "arxiv",
    "version": 1
  }
}