Pith Number

pith:XL74BWUP

pith:2004:XL74BWUPANFC2DRWE3YXGTWVWI

not attested not anchored not stored refs pending

Expectations of hook products on large partitions

Alexei Borodin, Mark Adler, Pierre van Moerbeke

arxiv:math/0409554 v1 · 2004-09-28 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XL74BWUPANFC2DRWE3YXGTWVWI}

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	2026-05-18T01:05:25.946182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baffc0da8f034a2d0e3626f1734ed5b230ab0cb4dc8794b4fa17de626f4a3534

Aliases

arxiv: math/0409554 · arxiv_version: math/0409554v1 · doi: 10.48550/arxiv.math/0409554 · pith_short_12: XL74BWUPANFC · pith_short_16: XL74BWUPANFC2DRW · pith_short_8: XL74BWUP

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/XL74BWUPANFC2DRWE3YXGTWVWI \
  | 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: baffc0da8f034a2d0e3626f1734ed5b230ab0cb4dc8794b4fa17de626f4a3534

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc6ffb05c7050ac92cdb38c98d15f59a0195b5fc4b42c613d23bb5720911291b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-09-28T15:39:48Z",
    "title_canon_sha256": "dec4a797d70328aac328c0d540613b261b9214fbdee17ce948e5e7d4267646f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409554",
    "kind": "arxiv",
    "version": 1
  }
}