Pith Number

pith:LXJJQ5MB

pith:2018:LXJJQ5MB7NN4YJUGRXDXCNSPMW

not attested not anchored not stored refs pending

The Gamma and Strominger-Yau-Zaslow conjectures: a tropical approach to periods

Hiroshi Iritani, Mohammed Abouzaid, Nick Sheridan, Sheel Ganatra

arxiv:1809.02177 v3 · 2018-09-06 · math.AG · 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{LXJJQ5MB7NN4YJUGRXDXCNSPMW}

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	2026-07-05T04:25:06.929348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dd2987581fb5bcc26868dc771364f65a680d07dc0d917814672213a3b3be1c3

Aliases

arxiv: 1809.02177 · arxiv_version: 1809.02177v3 · doi: 10.48550/arxiv.1809.02177 · pith_short_12: LXJJQ5MB7NN4 · pith_short_16: LXJJQ5MB7NN4YJUG · pith_short_8: LXJJQ5MB

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/LXJJQ5MB7NN4YJUGRXDXCNSPMW \
  | 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: 5dd2987581fb5bcc26868dc771364f65a680d07dc0d917814672213a3b3be1c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f163574267f4a2f2eb29dc3fe1acb9d12fc887753c93aea0daf697fb44b96f52",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-09-06T19:08:41Z",
    "title_canon_sha256": "157e81280279bc9088c6bc76b47a94d535b8cd61c36c01a5a2acf5d1cf99f439"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02177",
    "kind": "arxiv",
    "version": 3
  }
}