Pith Number

pith:PQJL564N

pith:2012:PQJL564NNKZMPMJIGU2GDOTXSN

not attested not anchored not stored refs pending

The Gerby Gopakumar-Mari\~no-Vafa Formula

Dustin Ross, Zhengyu Zong

arxiv:1208.4342 v4 · 2012-08-21 · math.AG · math-ph · math.CO · math.MP

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

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	2026-05-18T02:29:53.377511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c12befb8d6ab2c7b128353461ba7793656adb6d084c59f0c3b736d6a915fcd1

Aliases

arxiv: 1208.4342 · arxiv_version: 1208.4342v4 · doi: 10.48550/arxiv.1208.4342 · pith_short_12: PQJL564NNKZM · pith_short_16: PQJL564NNKZMPMJI · pith_short_8: PQJL564N

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/PQJL564NNKZMPMJIGU2GDOTXSN \
  | 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: 7c12befb8d6ab2c7b128353461ba7793656adb6d084c59f0c3b736d6a915fcd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0590d5fad3069bc4fe9f4ea2ce2d476b3b7b2ea8a45c719bb0d78423645505b8",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-21T19:00:09Z",
    "title_canon_sha256": "e6ff7b80238d9f0f9a5ab19fb653f7183505dae7a012c632dd999f9617dc54a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4342",
    "kind": "arxiv",
    "version": 4
  }
}