Pith Number

pith:PQK3WKQ3

pith:2015:PQK3WKQ335IF3NZ4MAMYY25LS7

not attested not anchored not stored refs pending

Gluing formula for Gromov-Witten invariants in a triple product

Brett Parker

arxiv:1511.00779 v2 · 2015-11-03 · math.SG · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PQK3WKQ335IF3NZ4MAMYY25LS7}

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	2026-05-18T00:44:42.680796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c15bb2a1bdf505db73c60198c6bab97ff140f16ac9bf22713a0a60afacefa72

Aliases

arxiv: 1511.00779 · arxiv_version: 1511.00779v2 · doi: 10.48550/arxiv.1511.00779 · pith_short_12: PQK3WKQ335IF · pith_short_16: PQK3WKQ335IF3NZ4 · pith_short_8: PQK3WKQ3

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/PQK3WKQ335IF3NZ4MAMYY25LS7 \
  | 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: 7c15bb2a1bdf505db73c60198c6bab97ff140f16ac9bf22713a0a60afacefa72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca351839629d91ef05ee3e89e5eb09cef18603b5a034d82198e5c772913d1d25",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-11-03T04:55:09Z",
    "title_canon_sha256": "2191af4f85d38d87a6d9caf2f78b0220bae25477e00edce9d128e5bcdc1379ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00779",
    "kind": "arxiv",
    "version": 2
  }
}