Pith Number

pith:2KULQED5

pith:2012:2KULQED5RBKN7GCBYNQROZGI3G

not attested not anchored not stored refs pending

Note on a partition limit theorem for rank and crank

Persi Diaconis, Robert C. Rhoades, Svante Janson

arxiv:1205.1252 v1 · 2012-05-06 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KULQED5RBKN7GCBYNQROZGI3G}

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	2026-05-18T02:57:53.614297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2a8b8107d8854df9841c3611764c8d99ecfd1c17d0a4c37e8f2b01a0c674756

Aliases

arxiv: 1205.1252 · arxiv_version: 1205.1252v1 · doi: 10.48550/arxiv.1205.1252 · pith_short_12: 2KULQED5RBKN · pith_short_16: 2KULQED5RBKN7GCB · pith_short_8: 2KULQED5

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/2KULQED5RBKN7GCBYNQROZGI3G \
  | 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: d2a8b8107d8854df9841c3611764c8d99ecfd1c17d0a4c37e8f2b01a0c674756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "015a1db5177f7ece51f989791ce0607f61b87e27295a4d966636cb96ec942383",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-06T23:20:12Z",
    "title_canon_sha256": "6d35e249e02dacaca2802f28c70a538015e590b01781614d56f4707fdd0608cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1252",
    "kind": "arxiv",
    "version": 1
  }
}