Pith Number

pith:WROKQPNG

pith:2004:WROKQPNG3HIQ2KEO5AXELFYFUZ

not attested not anchored not stored refs pending

Birational geometry of Fano direct products

Aleksandr V. Pukhlikov

arxiv:math/0405011 v2 · 2004-05-01 · 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{WROKQPNG3HIQ2KEO5AXELFYFUZ}

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	2026-05-18T01:38:28.383698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b45ca83da6d9d10d288ee82e459705a656a16599d1f402cf3580b476ffbc914f

Aliases

arxiv: math/0405011 · arxiv_version: math/0405011v2 · doi: 10.48550/arxiv.math/0405011 · pith_short_12: WROKQPNG3HIQ · pith_short_16: WROKQPNG3HIQ2KEO · pith_short_8: WROKQPNG

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/WROKQPNG3HIQ2KEO5AXELFYFUZ \
  | 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: b45ca83da6d9d10d288ee82e459705a656a16599d1f402cf3580b476ffbc914f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b97fa171921b8cd1c1a82fc6349b12db117895a5af31173270d23b5738685c44",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-05-01T19:59:03Z",
    "title_canon_sha256": "9841e6948b44f94fb711c9305385d60a37a484d325c6017e57639843adbf5e1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405011",
    "kind": "arxiv",
    "version": 2
  }
}