Pith Number

pith:KZBRLAFM

pith:2025:KZBRLAFMFKNQWC2DST5UJPU5NS

not attested not anchored not stored refs pending

Gromov-Witten invariants of log Calabi-Yau 3-folds are holomorphic lagrangian correspondences

Brett Parker

arxiv:2506.20092 v1 · 2025-06-25 · math.AG · math-ph · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZBRLAFMFKNQWC2DST5UJPU5NS}

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	2026-07-05T11:27:00.158304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56431580ac2a9b0b0b4394fb44be9d6c83bc5f69876c2e2aff32fba2142c9825

Aliases

arxiv: 2506.20092 · arxiv_version: 2506.20092v1 · doi: 10.48550/arxiv.2506.20092 · pith_short_12: KZBRLAFMFKNQ · pith_short_16: KZBRLAFMFKNQWC2D · pith_short_8: KZBRLAFM

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/KZBRLAFMFKNQWC2DST5UJPU5NS \
  | 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: 56431580ac2a9b0b0b4394fb44be9d6c83bc5f69876c2e2aff32fba2142c9825

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf4beaf2396a6906e7e95b2f93814f0fa11ec1c03c403eddc8885b2678081154",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-06-25T02:30:23Z",
    "title_canon_sha256": "756e2242a820423a54e394f275e1f0c36de2915e998b5dbdca1147877c5548f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.20092",
    "kind": "arxiv",
    "version": 1
  }
}