Pith Number

pith:5BFPYNDX

pith:2011:5BFPYNDXWVZDBBJEJI3GLI6KFT

not attested not anchored not stored refs pending

Warnaar's bijection and colored partition identities, I

Colin Sandon, Fabrizio Zanello

arxiv:1112.2637 v3 · 2011-12-12 · math.CO · math.AC · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BFPYNDXWVZDBBJEJI3GLI6KFT}

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	2026-05-18T03:51:47.205820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e84afc3477b5723085244a3665a3ca2cf361eadb7f53de0925d3fb524af542e0

Aliases

arxiv: 1112.2637 · arxiv_version: 1112.2637v3 · doi: 10.48550/arxiv.1112.2637 · pith_short_12: 5BFPYNDXWVZD · pith_short_16: 5BFPYNDXWVZDBBJE · pith_short_8: 5BFPYNDX

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/5BFPYNDXWVZDBBJEJI3GLI6KFT \
  | 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: e84afc3477b5723085244a3665a3ca2cf361eadb7f53de0925d3fb524af542e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dea4475cf5031327a6400480af755ab5bcfd90f9c9b3c9f25dbc2e9a642a04af",
    "cross_cats_sorted": [
      "math.AC",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-12T17:59:43Z",
    "title_canon_sha256": "3302faed14ce3c63ec074c37719d2ee6864c514e78511c1b1735b3a676cbad99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2637",
    "kind": "arxiv",
    "version": 3
  }
}