Pith Number

pith:TR4PYPXU

pith:2013:TR4PYPXUXSW3HBCQKI2MQRCLGA

not attested not anchored not stored refs pending

Quintic periods and stability conditions via homological mirror symmetry

So Okada

arxiv:1304.0937 v2 · 2013-04-03 · math.AG · hep-th · math.CA · math.CT · 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{TR4PYPXUXSW3HBCQKI2MQRCLGA}

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	2026-05-18T03:15:43.308972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c78fc3ef4bcadb384505234c8444b3020a8ead965b06d4e0adbe58402d53102

Aliases

arxiv: 1304.0937 · arxiv_version: 1304.0937v2 · doi: 10.48550/arxiv.1304.0937 · pith_short_12: TR4PYPXUXSW3 · pith_short_16: TR4PYPXUXSW3HBCQ · pith_short_8: TR4PYPXU

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/TR4PYPXUXSW3HBCQKI2MQRCLGA \
  | 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: 9c78fc3ef4bcadb384505234c8444b3020a8ead965b06d4e0adbe58402d53102

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb86723bdee4b2c9e6033c169524f6cb13bdeba08c34c809cde28d901af37d98",
    "cross_cats_sorted": [
      "hep-th",
      "math.CA",
      "math.CT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-03T12:40:39Z",
    "title_canon_sha256": "33bdb0089ac0cd502cf4058045da2623185f9d79846d10e48e620b0808846fa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0937",
    "kind": "arxiv",
    "version": 2
  }
}