Pith Number

pith:QDM4FR3Y

pith:2025:QDM4FR3YYJNC5QMQZONW2XAE5T

not attested not anchored not stored refs pending

Differential forms, open-closed maps, and Gromov-Witten axioms

Jake P. Solomon, Pavel Giterman, Sara B. Tukachinsky

arxiv:2509.06034 v1 · 2025-09-07 · math.SG · hep-th · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QDM4FR3YYJNC5QMQZONW2XAE5T}

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	2026-07-05T12:06:28.676089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80d9c2c778c25a2ec190cb9b6d5c04ecdfdd517549517879e0ce6d7846709173

Aliases

arxiv: 2509.06034 · arxiv_version: 2509.06034v1 · doi: 10.48550/arxiv.2509.06034 · pith_short_12: QDM4FR3YYJNC · pith_short_16: QDM4FR3YYJNC5QMQ · pith_short_8: QDM4FR3Y

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/QDM4FR3YYJNC5QMQZONW2XAE5T \
  | 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: 80d9c2c778c25a2ec190cb9b6d5c04ecdfdd517549517879e0ce6d7846709173

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9d9ca2661aaa5615baa85041b2420e95566ec49217c51c771d735f1373b3c8f",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2025-09-07T12:35:56Z",
    "title_canon_sha256": "aed1b4acd0c9551ed2ac7f781bd2abfb1c1309ceed50fce802a0d4a91fd4af1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.06034",
    "kind": "arxiv",
    "version": 1
  }
}