Pith Number

pith:2IOVELP2

pith:2012:2IOVELP2TZPR2ERI43TDDKTYSJ

not attested not anchored not stored refs pending

Local cohomology modules of polynomial or power series rings over rings of small dimension

Luis Nunez-Betancourt

arxiv:1207.1896 v2 · 2012-07-08 · 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{2IOVELP2TZPR2ERI43TDDKTYSJ}

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	2026-05-18T03:08:25.166672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d21d522dfa9e5f1d1228e6e631aa78925b9d93ed7d8c786338f9df1d81463dc5

Aliases

arxiv: 1207.1896 · arxiv_version: 1207.1896v2 · doi: 10.48550/arxiv.1207.1896 · pith_short_12: 2IOVELP2TZPR · pith_short_16: 2IOVELP2TZPR2ERI · pith_short_8: 2IOVELP2

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/2IOVELP2TZPR2ERI43TDDKTYSJ \
  | 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: d21d522dfa9e5f1d1228e6e631aa78925b9d93ed7d8c786338f9df1d81463dc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "908ad4f5413b5c2918b0f28ad183aab633e166cd01ccdbba641035ff9223d2e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-07-08T18:08:34Z",
    "title_canon_sha256": "27ccacb4f539c5ba64f15ed60e354147150ecae5646bb6b83e2b84c73ba44137"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1896",
    "kind": "arxiv",
    "version": 2
  }
}