Pith Number

pith:V2RTPD4B

pith:2009:V2RTPD4BHZMTSHDTXKC4FF7CPF

not attested not anchored not stored refs pending

Stable categories of higher preprojective algebras

Osamu Iyama, Steffen Oppermann

arxiv:0912.3412 v2 · 2009-12-17 · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V2RTPD4BHZMTSHDTXKC4FF7CPF}

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	2026-05-18T04:23:54.539412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aea3378f813e59391c73ba85c297e27957cedd7d8e92d57cb929653a62e15192

Aliases

arxiv: 0912.3412 · arxiv_version: 0912.3412v2 · doi: 10.48550/arxiv.0912.3412 · pith_short_12: V2RTPD4BHZMT · pith_short_16: V2RTPD4BHZMTSHDT · pith_short_8: V2RTPD4B

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/V2RTPD4BHZMTSHDTXKC4FF7CPF \
  | 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: aea3378f813e59391c73ba85c297e27957cedd7d8e92d57cb929653a62e15192

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f1146c73000d44e66634be79e7c8f5bcbfb20c65a35f0175980a660695c0a3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-12-17T14:19:24Z",
    "title_canon_sha256": "adb562af2fdb2b1c3ee742923b36de26aa71ab8f2a243926627ca89d66d2513f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3412",
    "kind": "arxiv",
    "version": 2
  }
}