Pith Number

pith:PRMOOK5I

pith:2013:PRMOOK5ILUGUVQ5VYSSDLCN2MV

not attested not anchored not stored refs pending

Auslander class, $\g_C$ and $C$--projective modules modulo exact zero-divisors

Ensiyeh Amanzadeh, Mohammad T. Dibaei

arxiv:1301.4078 v2 · 2013-01-17 · 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{PRMOOK5ILUGUVQ5VYSSDLCN2MV}

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	2026-05-18T02:48:01.148587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c58e72ba85d0d4ac3b5c4a43589ba65585418b1dae5861f8f8f804a321d7fc0

Aliases

arxiv: 1301.4078 · arxiv_version: 1301.4078v2 · doi: 10.48550/arxiv.1301.4078 · pith_short_12: PRMOOK5ILUGU · pith_short_16: PRMOOK5ILUGUVQ5V · pith_short_8: PRMOOK5I

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/PRMOOK5ILUGUVQ5VYSSDLCN2MV \
  | 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: 7c58e72ba85d0d4ac3b5c4a43589ba65585418b1dae5861f8f8f804a321d7fc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c80826bd967effdb094205cc2436e355db707b151d3f1f857a18dd6466abfba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-01-17T12:43:25Z",
    "title_canon_sha256": "67002d3d4614302371919369c35a3c413ed9ad78c22f1e167ac83c34104c570c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4078",
    "kind": "arxiv",
    "version": 2
  }
}