Pith Number

pith:NQIZ4GMB

pith:2015:NQIZ4GMBRLZDX4HQ3JVXWHSJZ5

not attested not anchored not stored refs pending

Topological recursion for Gaussian means and cohomological field theories

J{\o}rgen Ellegaard Andersen, Leonid O. Chekhov, Paul Norbury, Robert C. Penner

arxiv:1512.09309 v1 · 2015-12-31 · math-ph · hep-th · math.AG · math.GT · 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{NQIZ4GMBRLZDX4HQ3JVXWHSJZ5}

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	2026-05-18T01:23:32.718279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c119e19818af23bf0f0da6b7b1e49cf7800e950cfdc054e6546ef4b818ec228

Aliases

arxiv: 1512.09309 · arxiv_version: 1512.09309v1 · doi: 10.48550/arxiv.1512.09309 · pith_short_12: NQIZ4GMBRLZD · pith_short_16: NQIZ4GMBRLZDX4HQ · pith_short_8: NQIZ4GMB

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/NQIZ4GMBRLZDX4HQ3JVXWHSJZ5 \
  | 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: 6c119e19818af23bf0f0da6b7b1e49cf7800e950cfdc054e6546ef4b818ec228

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae324792648f796f96bbe357cd57d82c33785c2bade49ec046c0af8280231a43",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-31T15:33:39Z",
    "title_canon_sha256": "05e983c6663aecf06b683e106bc3f941b6d7ff53e263b68d093732993bc35143"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09309",
    "kind": "arxiv",
    "version": 1
  }
}