Pith Number

pith:KZ4Q56NZ

pith:1998:KZ4Q56NZBR52JIMHP54KRAQRWW

not attested not anchored not stored refs pending

The shape of a typical boxed plane partition

Henry Cohn, James Propp, Michael Larsen

arxiv:math/9801059 v3 · 1998-01-13 · 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{KZ4Q56NZBR52JIMHP54KRAQRWW}

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.

Cited by

1 paper in Pith

Breakdown of the thermodynamic limit in quantum spin and dimer models

Receipt and verification

First computed	2026-07-04T14:40:25.125811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56790ef9b90c7ba4a1877f78a88211b59e35a0ebaa669029f656df2e80cbf4e1

Aliases

arxiv: math/9801059 · arxiv_version: math/9801059v3 · doi: 10.48550/arxiv.math/9801059 · pith_short_12: KZ4Q56NZBR52 · pith_short_16: KZ4Q56NZBR52JIMH · pith_short_8: KZ4Q56NZ

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/KZ4Q56NZBR52JIMHP54KRAQRWW \
  | 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: 56790ef9b90c7ba4a1877f78a88211b59e35a0ebaa669029f656df2e80cbf4e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af6a7c2703cced0cf6f05f50c75a5b5f272e8139a8c719c747b4c7e3fdb6052c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1998-01-13T05:16:02Z",
    "title_canon_sha256": "be12586fe80041c7f5087e338ee378c9a17d87210fa1ab0e276e3901ed4c3a43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9801059",
    "kind": "arxiv",
    "version": 3
  }
}