Pith Number

pith:B72AZGK5

pith:2014:B72AZGK5VCG3SFH5P5IAX4HFA6

not attested not anchored not stored refs pending

The second Hilbert coefficients and the sectional genera of ideals

Kazuho Ozeki

arxiv:1404.5026 v1 · 2014-04-20 · 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{B72AZGK5VCG3SFH5P5IAX4HFA6}

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	2026-05-18T02:53:52.160984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ff40c995da88db914fd7f500bf0e50783f7f3c2f8cabae11291183c71fd2949

Aliases

arxiv: 1404.5026 · arxiv_version: 1404.5026v1 · doi: 10.48550/arxiv.1404.5026 · pith_short_12: B72AZGK5VCG3 · pith_short_16: B72AZGK5VCG3SFH5 · pith_short_8: B72AZGK5

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/B72AZGK5VCG3SFH5P5IAX4HFA6 \
  | 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: 0ff40c995da88db914fd7f500bf0e50783f7f3c2f8cabae11291183c71fd2949

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38fcfa8a906e592b741374982377b63e47ffe03733cf558a9ca3b7aaf4718a63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-04-20T07:44:26Z",
    "title_canon_sha256": "4a352c314120884dfeb189dc0fb0089bec46d126ccd47b51bcc8c49e885f83eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5026",
    "kind": "arxiv",
    "version": 1
  }
}