Pith Number

pith:RHZEPD2O

pith:2012:RHZEPD2OBWG2V7YRF3O6D556AT

not attested not anchored not stored refs pending

Explicit formulas using partitions of integers for numbers defined by recursion

Giuseppe Fera, Vittorino Talamini

arxiv:1211.1440 v2 · 2012-11-07 · math.NT · 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{RHZEPD2OBWG2V7YRF3O6D556AT}

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	2026-05-18T00:24:40.293404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89f2478f4e0d8daaff112edde1f7be04e975524196297b598ca58915c7e5695f

Aliases

arxiv: 1211.1440 · arxiv_version: 1211.1440v2 · doi: 10.48550/arxiv.1211.1440 · pith_short_12: RHZEPD2OBWG2 · pith_short_16: RHZEPD2OBWG2V7YR · pith_short_8: RHZEPD2O

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/RHZEPD2OBWG2V7YRF3O6D556AT \
  | 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: 89f2478f4e0d8daaff112edde1f7be04e975524196297b598ca58915c7e5695f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cd241fe64de18a062a216b2fa29bb86c57f5f70b9842603a530159054e568c8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-07T03:16:20Z",
    "title_canon_sha256": "6b88100826e011c58b58f52abc16baee1b1b3d0a4afae5a3f4dbaba9eabada06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1440",
    "kind": "arxiv",
    "version": 2
  }
}