Pith Number

pith:NEWFZI7I

pith:2005:NEWFZI7IJKYJHNTQTCWGLLBKIV

not attested not anchored not stored refs pending

Birationally rigid varieties with a pencil of Fano double covers. III

Aleksandr V. Pukhlikov

arxiv:math/0510168 v1 · 2005-10-08 · 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{NEWFZI7IJKYJHNTQTCWGLLBKIV}

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	2026-05-18T01:38:24.754282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

692c5ca3e84ab093b67098ac65ac2a456e7a6564a32f77e8807fd3d7d69dda4d

Aliases

arxiv: math/0510168 · arxiv_version: math/0510168v1 · doi: 10.48550/arxiv.math/0510168 · pith_short_12: NEWFZI7IJKYJ · pith_short_16: NEWFZI7IJKYJHNTQ · pith_short_8: NEWFZI7I

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/NEWFZI7IJKYJHNTQTCWGLLBKIV \
  | 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: 692c5ca3e84ab093b67098ac65ac2a456e7a6564a32f77e8807fd3d7d69dda4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4520c4970f894125b8fa3bb346caab6ffe1a685d1b451a7f282b43fd1e43fc2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-10-08T17:49:48Z",
    "title_canon_sha256": "b8837b52f9b677633273d17ccffa3c447da3838ed8baa290b93c311a72b92d4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510168",
    "kind": "arxiv",
    "version": 1
  }
}