Pith Number

pith:SOEV63N3

pith:2013:SOEV63N3PX7IXKEPLUNQUOHUSN

not attested not anchored not stored refs pending

On Endomorphism Rings of Local Cohomology Modules

Waqas Mahmood

arxiv:1308.2584 v1 · 2013-08-12 · 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{SOEV63N3PX7IXKEPLUNQUOHUSN}

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	2026-05-18T03:16:07.028510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93895f6dbb7dfe8ba88f5d1b0a38f4936f15d6b876031022a58cac713dc28cdd

Aliases

arxiv: 1308.2584 · arxiv_version: 1308.2584v1 · doi: 10.48550/arxiv.1308.2584 · pith_short_12: SOEV63N3PX7I · pith_short_16: SOEV63N3PX7IXKEP · pith_short_8: SOEV63N3

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/SOEV63N3PX7IXKEPLUNQUOHUSN \
  | 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: 93895f6dbb7dfe8ba88f5d1b0a38f4936f15d6b876031022a58cac713dc28cdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dc7c46ca4d94ec934f424d3e5e50d19b07b968c2f36a84c2e14a6115efd3e1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-08-12T14:42:30Z",
    "title_canon_sha256": "e192fbe4e7a377aec335cf1b05694260cc5d70298157aac589b50042c3813348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2584",
    "kind": "arxiv",
    "version": 1
  }
}