Pith Number

pith:C6BU4K5Q

pith:2012:C6BU4K5QL2M7D2PP2CMMOHRCYA

not attested not anchored not stored refs pending

The lex-plus-power inequality for local cohomology modules

Enrico Sbarra, Giulio Caviglia

arxiv:1208.2187 v2 · 2012-08-10 · math.AC · 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{C6BU4K5QL2M7D2PP2CMMOHRCYA}

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	2026-05-18T03:31:17.378831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17834e2bb05e99f1e9efd098c71e22c02eac6cc6c0e19593cb9f6dfbe85965f2

Aliases

arxiv: 1208.2187 · arxiv_version: 1208.2187v2 · doi: 10.48550/arxiv.1208.2187 · pith_short_12: C6BU4K5QL2M7 · pith_short_16: C6BU4K5QL2M7D2PP · pith_short_8: C6BU4K5Q

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/C6BU4K5QL2M7D2PP2CMMOHRCYA \
  | 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: 17834e2bb05e99f1e9efd098c71e22c02eac6cc6c0e19593cb9f6dfbe85965f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eb89348fe57c2e53af09cf70bcbaf9366e413d22c21d88125d81e07c1556761",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-08-10T14:25:11Z",
    "title_canon_sha256": "9336120f90e1a3d7d3345bb9f093ecf23cc11a126e1ae72f8f9a29d316defb46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2187",
    "kind": "arxiv",
    "version": 2
  }
}