Pith Number

pith:HXTLJAYZ

pith:2012:HXTLJAYZEDVMVVCRUBBIRQ5GGB

not attested not anchored not stored refs pending

The Mukai conjecture for log Fano manifolds

Kento Fujita

arxiv:1206.2475 v1 · 2012-06-12 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HXTLJAYZEDVMVVCRUBBIRQ5GGB}

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	2026-05-18T03:53:44.333515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3de6b4831920eacad451a04288c3a6305952eb6ae9fbd644f67913d6add4d610

Aliases

arxiv: 1206.2475 · arxiv_version: 1206.2475v1 · doi: 10.48550/arxiv.1206.2475 · pith_short_12: HXTLJAYZEDVM · pith_short_16: HXTLJAYZEDVMVVCR · pith_short_8: HXTLJAYZ

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/HXTLJAYZEDVMVVCRUBBIRQ5GGB \
  | 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: 3de6b4831920eacad451a04288c3a6305952eb6ae9fbd644f67913d6add4d610

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df7e52b6c360a2e626968eaae00772da19fb27d32f4d8846d46b58d9a05f550a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-06-12T09:51:10Z",
    "title_canon_sha256": "22d644c271a8e1ca01f38e13fe7e40bc6a4b921a3f3b147a07bd9144a2e6ae34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2475",
    "kind": "arxiv",
    "version": 1
  }
}