Pith Number

pith:LD6PMKJ2

pith:2012:LD6PMKJ2P46MMRMTTX4YEO2GTR

not attested not anchored not stored refs pending

On injective and Gorenstein injective dimensions of local cohomology modules

Hossein Zakeri, Majid Rahro Zargar

arxiv:1204.2394 v5 · 2012-04-11 · 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{LD6PMKJ2P46MMRMTTX4YEO2GTR}

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	2026-05-18T03:32:31.850158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58fcf6293a7f3cc645939df9823b469c69e4339fc82b8acbfa53e4866bfac14b

Aliases

arxiv: 1204.2394 · arxiv_version: 1204.2394v5 · doi: 10.48550/arxiv.1204.2394 · pith_short_12: LD6PMKJ2P46M · pith_short_16: LD6PMKJ2P46MMRMT · pith_short_8: LD6PMKJ2

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/LD6PMKJ2P46MMRMTTX4YEO2GTR \
  | 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: 58fcf6293a7f3cc645939df9823b469c69e4339fc82b8acbfa53e4866bfac14b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "806ba4555976a00260e09dd8248a4eaf1529848059c2c8e867675f2b340c93e7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-04-11T09:59:08Z",
    "title_canon_sha256": "58932d62a142be3a53f8e02dd2102ea5cae288aa53be9a455916ae617ce7658f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2394",
    "kind": "arxiv",
    "version": 5
  }
}