Pith Number

pith:SRYI5LTM

pith:2012:SRYI5LTMNZ5IQYPRFK6LNSHBBZ

not attested not anchored not stored refs pending

Local cohomology modules and Gorenstein injectivity with respect to a semidualizing module

Majid Rahro Zargar

arxiv:1205.5985 v2 · 2012-05-27 · 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{SRYI5LTMNZ5IQYPRFK6LNSHBBZ}

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	2026-05-18T03:32:31.771487Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94708eae6c6e7a8861f12abcb6c8e10e43b9715d8adbd42057e13bb65507a274

Aliases

arxiv: 1205.5985 · arxiv_version: 1205.5985v2 · doi: 10.48550/arxiv.1205.5985 · pith_short_12: SRYI5LTMNZ5I · pith_short_16: SRYI5LTMNZ5IQYPR · pith_short_8: SRYI5LTM

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/SRYI5LTMNZ5IQYPRFK6LNSHBBZ \
  | 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: 94708eae6c6e7a8861f12abcb6c8e10e43b9715d8adbd42057e13bb65507a274

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc1f428920405960cd414436266c1c3417bdc22ac1751ccd2fe9d8325175384b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-05-27T17:05:04Z",
    "title_canon_sha256": "6059dec523c14ce72362bae14eb972c9dadc3aa25240a0f41fd99353977ed951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5985",
    "kind": "arxiv",
    "version": 2
  }
}