Pith Number

pith:X3VYMVWF

pith:2005:X3VYMVWF2BUPQJJMEELVZDW74X

not attested not anchored not stored refs pending

Rank 2 arithmetically Cohen-Macaulay bundles on a nonsingular cubic surface

Daniele Faenzi

arxiv:math/0504492 v2 · 2005-04-24 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3VYMVWF2BUPQJJMEELVZDW74X}

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	2026-05-18T01:05:23.489652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beeb8656c5d068f8252c21175c8edfe5eb6bf9a94899f71257876cdf9c95a566

Aliases

arxiv: math/0504492 · arxiv_version: math/0504492v2 · doi: 10.48550/arxiv.math/0504492 · pith_short_12: X3VYMVWF2BUP · pith_short_16: X3VYMVWF2BUPQJJM · pith_short_8: X3VYMVWF

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/X3VYMVWF2BUPQJJMEELVZDW74X \
  | 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: beeb8656c5d068f8252c21175c8edfe5eb6bf9a94899f71257876cdf9c95a566

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1569b5d54be7a30746a6ed7d617e19140e9764a78db04742709a23961e66061c",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-04-24T13:29:09Z",
    "title_canon_sha256": "280ee6729b70c8a740d3ea4a60284a1532547e5ca0a81068e581fd7660c5ae49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504492",
    "kind": "arxiv",
    "version": 2
  }
}