Pith Number

pith:M7ROUL4X

pith:2013:M7ROUL4XFBU5MDUO3FKG4ND5MQ

not attested not anchored not stored refs pending

On the annihilators and attached primes of top local cohomology modules

Ali Atazadeh, Monireh Sedghi, Reza Naghipour

arxiv:1312.1253 v2 · 2013-12-04 · 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{M7ROUL4XFBU5MDUO3FKG4ND5MQ}

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	2026-05-18T02:55:13.143670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67e2ea2f972869d60e8ed9546e347d640552ba761f0f3a594516d90f01593c4e

Aliases

arxiv: 1312.1253 · arxiv_version: 1312.1253v2 · doi: 10.48550/arxiv.1312.1253 · pith_short_12: M7ROUL4XFBU5 · pith_short_16: M7ROUL4XFBU5MDUO · pith_short_8: M7ROUL4X

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/M7ROUL4XFBU5MDUO3FKG4ND5MQ \
  | 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: 67e2ea2f972869d60e8ed9546e347d640552ba761f0f3a594516d90f01593c4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2107f7427423697185f8c16756a16934e4f6e3710c9456bc0f0d0a3a71917ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-12-04T17:28:49Z",
    "title_canon_sha256": "91337db1694aadc706fa6cc51022f9a81ee38915a05bd963dca3d161542c3cb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1253",
    "kind": "arxiv",
    "version": 2
  }
}