Pith Number

pith:5JNBZ2EX

pith:2016:5JNBZ2EXNODRYF47QB2GEKT5QE

not attested not anchored not stored refs pending

The Jacobian ideal of a commutative ring and annihilators of cohomology

Ryo Takahashi, Srikanth B. Iyengar

arxiv:1610.02599 v2 · 2016-10-09 · 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{5JNBZ2EXNODRYF47QB2GEKT5QE}

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	2026-05-18T00:08:57.788176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea5a1ce8976b871c179f8074622a7d811b215e71530d742e1558f4bb63c18911

Aliases

arxiv: 1610.02599 · arxiv_version: 1610.02599v2 · doi: 10.48550/arxiv.1610.02599 · pith_short_12: 5JNBZ2EXNODR · pith_short_16: 5JNBZ2EXNODRYF47 · pith_short_8: 5JNBZ2EX

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/5JNBZ2EXNODRYF47QB2GEKT5QE \
  | 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: ea5a1ce8976b871c179f8074622a7d811b215e71530d742e1558f4bb63c18911

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2411a079bd959807814b06d72421f07922e8b562aaeb039fd28ea4566d1ed06a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-10-09T00:14:55Z",
    "title_canon_sha256": "f44b5a3e781b09f827f951b0aed8d6ddb6282307425f6f88678f5cd00998dc78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02599",
    "kind": "arxiv",
    "version": 2
  }
}