Pith Number

pith:NO3BZ45Q

pith:2011:NO3BZ45QXS7FG2GQ726PBPJVPW

not attested not anchored not stored refs pending

Unified derivation of the limit shape for multiplicative ensembles of random integer partitions with equiweighted parts

Leonid V. Bogachev

arxiv:1111.3311 v4 · 2011-11-14 · math.PR · 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{NO3BZ45QXS7FG2GQ726PBPJVPW}

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	2026-05-18T02:52:48.016599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bb61cf3b0bcbe5368d0febcf0bd357dac2d11b30d0de161ccc91866a37fd675

Aliases

arxiv: 1111.3311 · arxiv_version: 1111.3311v4 · doi: 10.48550/arxiv.1111.3311 · pith_short_12: NO3BZ45QXS7F · pith_short_16: NO3BZ45QXS7FG2GQ · pith_short_8: NO3BZ45Q

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/NO3BZ45QXS7FG2GQ726PBPJVPW \
  | 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: 6bb61cf3b0bcbe5368d0febcf0bd357dac2d11b30d0de161ccc91866a37fd675

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8751de74505ea323909ac4f364ca1179a59db10e4f2928c3aec6eeab8819a6a7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-14T18:24:21Z",
    "title_canon_sha256": "49c5da00d77232d7e40248d2260d8eaa077cb52a142b5079c909b8cd3de0e3a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3311",
    "kind": "arxiv",
    "version": 4
  }
}