Pith Number

pith:GEEEGEPP

pith:2013:GEEEGEPPBA3S3MSCE6LQJKU5V6

not attested not anchored not stored refs pending

Dubrovin-Zhang hierarchy for the Hodge integrals

A. Buryak

arxiv:1308.5716 v4 · 2013-08-26 · 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{GEEEGEPPBA3S3MSCE6LQJKU5V6}

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	2026-05-18T01:36:31.665441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31084311ef08372db242279704aa9dafad6cef74bca5a4ffaf949300b671352f

Aliases

arxiv: 1308.5716 · arxiv_version: 1308.5716v4 · doi: 10.48550/arxiv.1308.5716 · pith_short_12: GEEEGEPPBA3S · pith_short_16: GEEEGEPPBA3S3MSC · pith_short_8: GEEEGEPP

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/GEEEGEPPBA3S3MSCE6LQJKU5V6 \
  | 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: 31084311ef08372db242279704aa9dafad6cef74bca5a4ffaf949300b671352f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "321d134be93f9f4f913b88e22ffe3ad86a9d75d8f035a80b2c5763931bb57b9b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-08-26T22:47:29Z",
    "title_canon_sha256": "534a2556aaf25429668c7eaf578703e29fd60e6ccd4ed1e2e7c15dd2d00d9843"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5716",
    "kind": "arxiv",
    "version": 4
  }
}