Pith Number

pith:XS3RF3WA

pith:2014:XS3RF3WA7OTDB455KFOMIIZTXO

not attested not anchored not stored refs pending

A Note on Endomorphisms of Local Cohomology Modules

Waqas Mahmood, Zohaib Zahid

arxiv:1405.1249 v2 · 2014-05-06 · 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{XS3RF3WA7OTDB455KFOMIIZTXO}

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	2026-05-18T02:52:05.756734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcb712eec0fba630f3bd515cc42333bb8ec02a507558f72e38dd02862e434859

Aliases

arxiv: 1405.1249 · arxiv_version: 1405.1249v2 · doi: 10.48550/arxiv.1405.1249 · pith_short_12: XS3RF3WA7OTD · pith_short_16: XS3RF3WA7OTDB455 · pith_short_8: XS3RF3WA

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/XS3RF3WA7OTDB455KFOMIIZTXO \
  | 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: bcb712eec0fba630f3bd515cc42333bb8ec02a507558f72e38dd02862e434859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfb08a43fb2c1cd47c2a3109228793eaed69859c7ac4d79990090b69725b4ec8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-05-06T12:46:08Z",
    "title_canon_sha256": "fcf36387a5540faaf0e318038c1d2ed16e78672da9043bb9408b86db47740c77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1249",
    "kind": "arxiv",
    "version": 2
  }
}