Pith Number

pith:3HOZTQJ4

pith:2008:3HOZTQJ4V3RC5ZM6BCZOENJX4Z

not attested not anchored not stored refs pending

Infinite log-concavity: developments and conjectures

Bruce E. Sagan, Peter R. W. McNamara

arxiv:0808.1065 v2 · 2008-08-07 · 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{3HOZTQJ4V3RC5ZM6BCZOENJX4Z}

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	2026-05-18T04:03:32.789669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9dd99c13caee22ee59e08b2e23537e66daffd1432bf63be18e864c541cbe5e7

Aliases

arxiv: 0808.1065 · arxiv_version: 0808.1065v2 · doi: 10.48550/arxiv.0808.1065 · pith_short_12: 3HOZTQJ4V3RC · pith_short_16: 3HOZTQJ4V3RC5ZM6 · pith_short_8: 3HOZTQJ4

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/3HOZTQJ4V3RC5ZM6BCZOENJX4Z \
  | 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: d9dd99c13caee22ee59e08b2e23537e66daffd1432bf63be18e864c541cbe5e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1c24c53ce6aeb84a1eddb5c92d396216e71ce72faf3ac349922785def557e21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-08-07T16:18:41Z",
    "title_canon_sha256": "7da51ebd3d3c8329953ce207f9eff326ed411253286d829d258f8fa0f55ecfee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.1065",
    "kind": "arxiv",
    "version": 2
  }
}