Pith Number

pith:JRBHM3UP

pith:2012:JRBHM3UPMPP4ZNEPWOF45ZPCE5

not attested not anchored not stored refs pending

Local homology and Gorenstein flat modules

Fatemeh Mohammadi Aghjeh Mashhad, Kamran Divaani-Aazar

arxiv:1201.3067 v1 · 2012-01-15 · 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{JRBHM3UPMPP4ZNEPWOF45ZPCE5}

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	2026-05-18T04:04:32.340944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c42766e8f63dfccb48fb38bcee5e227694b823aa349bbf4999c05ef7f4d2947

Aliases

arxiv: 1201.3067 · arxiv_version: 1201.3067v1 · doi: 10.48550/arxiv.1201.3067 · pith_short_12: JRBHM3UPMPP4 · pith_short_16: JRBHM3UPMPP4ZNEP · pith_short_8: JRBHM3UP

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/JRBHM3UPMPP4ZNEPWOF45ZPCE5 \
  | 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: 4c42766e8f63dfccb48fb38bcee5e227694b823aa349bbf4999c05ef7f4d2947

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4d97fa1c84b85cb43412a61055638bd5040e745f87f61b7dd20a9e78a2fe96f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-01-15T08:10:23Z",
    "title_canon_sha256": "4d36f9e30acb017a74d9942dc46292652537dc17860efaa07b0430cbf9eaa739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3067",
    "kind": "arxiv",
    "version": 1
  }
}