Pith Number

pith:T23ZI3PJ

pith:2012:T23ZI3PJCRV4JFYW5C4L46NGBM

not attested not anchored not stored refs pending

Identification of the Givental formula with the spectral curve topological recursion procedure

L. Spitz, N. Orantin, P. Dunin-Barkowski, S. Shadrin

arxiv:1211.4021 v1 · 2012-11-16 · math-ph · hep-th · math.AG · 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{T23ZI3PJCRV4JFYW5C4L46NGBM}

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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.

Cited by

1 paper in Pith

$c=1$ strings as a matrix integral

Receipt and verification

First computed	2026-05-18T02:32:06.361168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eb7946de9146bc49716e8b8be79a60b279b88ef1e00c86170362c1e520e4f2b

Aliases

arxiv: 1211.4021 · arxiv_version: 1211.4021v1 · doi: 10.48550/arxiv.1211.4021 · pith_short_12: T23ZI3PJCRV4 · pith_short_16: T23ZI3PJCRV4JFYW · pith_short_8: T23ZI3PJ

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/T23ZI3PJCRV4JFYW5C4L46NGBM \
  | 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: 9eb7946de9146bc49716e8b8be79a60b279b88ef1e00c86170362c1e520e4f2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1be9303c56eb9d4e7693b7b2cba22efebda58e149c8612929fa15a5724e2bc78",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-16T20:53:50Z",
    "title_canon_sha256": "d0362dad8ec6a2377dacca6df061daab73d1608716128ad4f6300cc694633fe9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4021",
    "kind": "arxiv",
    "version": 1
  }
}