Pith Number

pith:VDXWHYVD

pith:2013:VDXWHYVDTAV3HK7HO4C6MLE33E

not attested not anchored not stored refs pending

The Mori Program and Non-Fano Toric Homological Mirror Symmetry

Colin Diemer, David Favero, Gabriel Kerr, Ludmil Katzarkov, Matthew Ballard

arxiv:1302.0803 v1 · 2013-02-04 · 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{VDXWHYVDTAV3HK7HO4C6MLE33E}

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	2026-05-18T03:34:36.276969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8ef63e2a3982bb3abe77705e62c9bd92587e174007453398d3f55fa3e02c849

Aliases

arxiv: 1302.0803 · arxiv_version: 1302.0803v1 · doi: 10.48550/arxiv.1302.0803 · pith_short_12: VDXWHYVDTAV3 · pith_short_16: VDXWHYVDTAV3HK7H · pith_short_8: VDXWHYVD

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/VDXWHYVDTAV3HK7HO4C6MLE33E \
  | 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: a8ef63e2a3982bb3abe77705e62c9bd92587e174007453398d3f55fa3e02c849

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1ee9078551b6c57e711124af0995d2702bfec9d5aedd9e37713626ffb02872a",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-04T19:11:59Z",
    "title_canon_sha256": "ab9ebddf9a45ec4f23a14fe236f4db03a7684f309da83e0ae759e6b84062d757"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0803",
    "kind": "arxiv",
    "version": 1
  }
}