Pith Number

pith:LOAY3KGK

pith:2011:LOAY3KGKQIJSVI5WQHBQ43QPGK

not attested not anchored not stored refs pending

Auslander-Reiten conjecture and Auslander-Reiten duality

Olgur Celikbas, Ryo Takahashi

arxiv:1112.6201 v3 · 2011-12-28 · 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{LOAY3KGKQIJSVI5WQHBQ43QPGK}

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	2026-05-18T00:07:51.492853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b818da8ca82132aa3b681c30e6e0f3280cfee3326880461b54016373cd3a6ed

Aliases

arxiv: 1112.6201 · arxiv_version: 1112.6201v3 · doi: 10.48550/arxiv.1112.6201 · pith_short_12: LOAY3KGKQIJS · pith_short_16: LOAY3KGKQIJSVI5W · pith_short_8: LOAY3KGK

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/LOAY3KGKQIJSVI5WQHBQ43QPGK \
  | 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: 5b818da8ca82132aa3b681c30e6e0f3280cfee3326880461b54016373cd3a6ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a1b745f1771dd877583c8772575af47e714a002b338839bb7de8bad84ae335e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-12-28T23:17:44Z",
    "title_canon_sha256": "455597ef281f839b62f4560e643595d155a4103aa813759a93443e13368eb4e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6201",
    "kind": "arxiv",
    "version": 3
  }
}