Pith Number

pith:YANHDYNP

pith:2009:YANHDYNPF6CCQDF6R5NQ6C4QTI

not attested not anchored not stored refs pending

Polynomial recursion formula for linear Hodge integrals

Motohico Mulase, Naizhen Zhang

arxiv:0908.2267 v4 · 2009-08-17 · math.AG · math.CO · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YANHDYNPF6CCQDF6R5NQ6C4QTI}

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	2026-05-18T04:39:59.552698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c01a71e1af2f84280cbe8f5b0f0b909a15cfd63a945fc9eaed704e1275dcdfb8

Aliases

arxiv: 0908.2267 · arxiv_version: 0908.2267v4 · doi: 10.48550/arxiv.0908.2267 · pith_short_12: YANHDYNPF6CC · pith_short_16: YANHDYNPF6CCQDF6 · pith_short_8: YANHDYNP

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/YANHDYNPF6CCQDF6R5NQ6C4QTI \
  | 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: c01a71e1af2f84280cbe8f5b0f0b909a15cfd63a945fc9eaed704e1275dcdfb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bac5a9ffb90065cb52011c3857b8c217043dbb98269be406c33afe845baa5548",
    "cross_cats_sorted": [
      "math.CO",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-08-17T00:05:43Z",
    "title_canon_sha256": "6e91f98410ad7f837b60cd94d633dfec28ba7c3af59571dabd3e93395a820a5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2267",
    "kind": "arxiv",
    "version": 4
  }
}