Pith Number

pith:LT75TISS

pith:2009:LT75TISS4RSVR7QKRSWODDFQ2W

not attested not anchored not stored refs pending

The Laplace transform of the cut-and-join equation and the Bouchard-Marino conjecture on Hurwitz numbers

Bertrand Eynard, Brad Safnuk, Motohico Mulase

arxiv:0907.5224 v3 · 2009-07-29 · math.AG · math-ph · math.CO · 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{LT75TISS4RSVR7QKRSWODDFQ2W}

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	2026-05-18T02:38:44.842605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cffd9a252e46558fe0a8cace18cb0d594ab33ff9e160df9f3e9da55fb8292b1

Aliases

arxiv: 0907.5224 · arxiv_version: 0907.5224v3 · doi: 10.48550/arxiv.0907.5224 · pith_short_12: LT75TISS4RSV · pith_short_16: LT75TISS4RSVR7QK · pith_short_8: LT75TISS

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/LT75TISS4RSVR7QKRSWODDFQ2W \
  | 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: 5cffd9a252e46558fe0a8cace18cb0d594ab33ff9e160df9f3e9da55fb8292b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4db139cddcd19c42ffe76cdf575fbcfe2c57decb2c2021c6fd5ab2ab7d99f50f",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-07-29T21:34:17Z",
    "title_canon_sha256": "2b582d2f0546c6068b405ad003096d5844166b2e0ce9980fb69a35c76fc5feb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5224",
    "kind": "arxiv",
    "version": 3
  }
}