Pith Number

pith:I2TLJX44

pith:2002:I2TLJX44BGGHZMCQJV77Q7MZC7

not attested not anchored not stored refs pending

Birationally rigid Fano hypersurfaces

Aleksandr V. Pukhlikov

arxiv:math/0201302 v2 · 2002-01-30 · 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{I2TLJX44BGGHZMCQJV77Q7MZC7}

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	2026-05-18T01:38:29.692413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46a6b4df9c098c7cb0504d7ff87d9917df9581ab3e47d1e8513dc7526ead2b31

Aliases

arxiv: math/0201302 · arxiv_version: math/0201302v2 · doi: 10.48550/arxiv.math/0201302 · pith_short_12: I2TLJX44BGGH · pith_short_16: I2TLJX44BGGHZMCQ · pith_short_8: I2TLJX44

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/I2TLJX44BGGHZMCQJV77Q7MZC7 \
  | 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: 46a6b4df9c098c7cb0504d7ff87d9917df9581ab3e47d1e8513dc7526ead2b31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a8d9cfca640d3fed1113ff9ed1a4a6f86aea7bf0a0a12d3830f6997aa93f849",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2002-01-30T18:47:24Z",
    "title_canon_sha256": "925e41fc971fedc571c510f671bf435c36eab6f90ab8ecef92c611c2c9a62f84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0201302",
    "kind": "arxiv",
    "version": 2
  }
}