Pith Number

pith:QWZD5PAG

pith:2010:QWZD5PAGRLLHN4536ICJYSAXEJ

not attested not anchored not stored refs pending

G-Fano threefolds, I

Yuri Prokhorov

arxiv:1012.4959 v3 · 2010-12-22 · 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{QWZD5PAGRLLHN4536ICJYSAXEJ}

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	2026-05-18T03:16:50.044930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85b23ebc068ad676f3bbf2049c4817225262da300842711941ad5999a9fed64d

Aliases

arxiv: 1012.4959 · arxiv_version: 1012.4959v3 · doi: 10.48550/arxiv.1012.4959 · pith_short_12: QWZD5PAGRLLH · pith_short_16: QWZD5PAGRLLHN453 · pith_short_8: QWZD5PAG

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/QWZD5PAGRLLHN4536ICJYSAXEJ \
  | 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: 85b23ebc068ad676f3bbf2049c4817225262da300842711941ad5999a9fed64d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7a7224739553ef949296a2d258028be27dc0a040ed411747828526ceb65b88b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-22T12:58:42Z",
    "title_canon_sha256": "1cdebcb4e35559b8d6442418d1fcab2f2ae5cbebd1ca0886bff4346af6b09418"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4959",
    "kind": "arxiv",
    "version": 3
  }
}