Pith Number

pith:VZ47NDMP

pith:2016:VZ47NDMPJRJZXIOQVEISLBZPEP

not attested not anchored not stored refs pending

All binomial identities are orderable

Dmitry N. Kozlov

arxiv:1603.08743 v3 · 2016-03-29 · cs.DM · cs.DC · 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{VZ47NDMPJRJZXIOQVEISLBZPEP}

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	2026-05-18T01:11:58.964170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae79f68d8f4c539ba1d0a91125872f23c49daf8bc80b53b75e864964bb2b6907

Aliases

arxiv: 1603.08743 · arxiv_version: 1603.08743v3 · doi: 10.48550/arxiv.1603.08743 · pith_short_12: VZ47NDMPJRJZ · pith_short_16: VZ47NDMPJRJZXIOQ · pith_short_8: VZ47NDMP

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/VZ47NDMPJRJZXIOQVEISLBZPEP \
  | 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: ae79f68d8f4c539ba1d0a91125872f23c49daf8bc80b53b75e864964bb2b6907

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c055b11afa20453889544cd0ce9eee80c2a5e3c4d75d6a9dc9f480c29fd1ef5",
    "cross_cats_sorted": [
      "cs.DC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-03-29T12:33:44Z",
    "title_canon_sha256": "61fb36e30683a897980223bfa6e4d5c46dc390a671896ad7dfe4dc3b5a75f699"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08743",
    "kind": "arxiv",
    "version": 3
  }
}