Pith Number

pith:MBFJNQNR

pith:2013:MBFJNQNRAUR6XQCTZ2JUTWAS33

not attested not anchored not stored refs pending

The Catalan case of Armstrong's conjecture on simultaneous core partitions

Fabrizio Zanello, Richard P. Stanley

arxiv:1312.4352 v2 · 2013-12-16 · 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{MBFJNQNRAUR6XQCTZ2JUTWAS33}

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	2026-05-18T02:19:43.897364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

604a96c1b10523ebc053ce9349d812dedbe67a59aa873c8dbf9b527dfb6fb6b6

Aliases

arxiv: 1312.4352 · arxiv_version: 1312.4352v2 · doi: 10.48550/arxiv.1312.4352 · pith_short_12: MBFJNQNRAUR6 · pith_short_16: MBFJNQNRAUR6XQCT · pith_short_8: MBFJNQNR

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/MBFJNQNRAUR6XQCTZ2JUTWAS33 \
  | 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: 604a96c1b10523ebc053ce9349d812dedbe67a59aa873c8dbf9b527dfb6fb6b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77da25f631d04ce800f09569ba6038930e2bf894be2d2ea6e40140b00ac91b1e",
    "cross_cats_sorted": [
      "math.AC",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-16T13:35:29Z",
    "title_canon_sha256": "4deae82c59495a5017c055019392f8d8d7315d1446fe479fa4d31436be98c2f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4352",
    "kind": "arxiv",
    "version": 2
  }
}