Pith Number

pith:VFSWIXIT

pith:2013:VFSWIXIT5UMTTVQY4UO3PN3NG3

not attested not anchored not stored refs pending

Asymptotically log Fano varieties

Ivan A. Cheltsov, Yanir A. Rubinstein

arxiv:1308.2503 v2 · 2013-08-12 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VFSWIXIT5UMTTVQY4UO3PN3NG3}

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	2026-05-18T01:32:57.969295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a965645d13ed1939d618e51db7b76d36c79edc7e95cb4b24f8c208e43535de18

Aliases

arxiv: 1308.2503 · arxiv_version: 1308.2503v2 · doi: 10.48550/arxiv.1308.2503 · pith_short_12: VFSWIXIT5UMT · pith_short_16: VFSWIXIT5UMTTVQY · pith_short_8: VFSWIXIT

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/VFSWIXIT5UMTTVQY4UO3PN3NG3 \
  | 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: a965645d13ed1939d618e51db7b76d36c79edc7e95cb4b24f8c208e43535de18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34f06881260bf96e1f1d5531259ec52bc97ba00fbb2da23763b0c5de398f0309",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-08-12T09:32:57Z",
    "title_canon_sha256": "7c002ab772b0bf00ca561673a5054857675ba7700b4e3b1c5ff925b9fedd4cdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2503",
    "kind": "arxiv",
    "version": 2
  }
}