Pith Number

pith:2MKZMZ5Z

pith:2013:2MKZMZ5ZSA3MODZIJY76W4BCJQ

not attested not anchored not stored refs pending

Lagrangian torus fibrations and homological mirror symmetry for the conifold

Daniel Pomerleano, Kazushi Ueda, Kwokwai Chan

arxiv:1305.0968 v4 · 2013-05-04 · math.SG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MKZMZ5ZSA3MODZIJY76W4BCJQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:23:12.723824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3159667b99036c70f284e3feb70224c25d8c76e8fb696dd9456920357ea2f33

Aliases

arxiv: 1305.0968 · arxiv_version: 1305.0968v4 · doi: 10.48550/arxiv.1305.0968 · pith_short_12: 2MKZMZ5ZSA3M · pith_short_16: 2MKZMZ5ZSA3MODZI · pith_short_8: 2MKZMZ5Z

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/2MKZMZ5ZSA3MODZIJY76W4BCJQ \
  | 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: d3159667b99036c70f284e3feb70224c25d8c76e8fb696dd9456920357ea2f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d817a070d419009b398a56e8fa0d92393a017adf64bb310362bdeff0c370e3f1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-05-04T23:22:10Z",
    "title_canon_sha256": "3cca2169e11e004924782639f322dc0d73d8e84db331d8445de0a8aaaf438f82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0968",
    "kind": "arxiv",
    "version": 4
  }
}