Pith Number

pith:WTZ2EMWK

pith:2012:WTZ2EMWK6FNW6EQRQBEPSWKWRP

not attested not anchored not stored refs pending

The Eynard--Orantin recursion for the total ancestor potential

Todor MIlanov

arxiv:1211.5847 v1 · 2012-11-26 · math.AG · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTZ2EMWK6FNW6EQRQBEPSWKWRP}

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	2026-05-18T02:29:32.526589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4f3a232caf15b6f12118048f959568bf040c5a3a6d5c54d546b8d95c259cfee

Aliases

arxiv: 1211.5847 · arxiv_version: 1211.5847v1 · doi: 10.48550/arxiv.1211.5847 · pith_short_12: WTZ2EMWK6FNW · pith_short_16: WTZ2EMWK6FNW6EQR · pith_short_8: WTZ2EMWK

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/WTZ2EMWK6FNW6EQRQBEPSWKWRP \
  | 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: b4f3a232caf15b6f12118048f959568bf040c5a3a6d5c54d546b8d95c259cfee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5bf283c35575d61a99a2dcec0baa1bd8851022d85ebf511510c5aba073347f8",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-26T02:59:13Z",
    "title_canon_sha256": "0baf05dc8ce194f2d50cc7ddd16c677d474e1b257157e62ec26e49d77430191c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5847",
    "kind": "arxiv",
    "version": 1
  }
}