Pith Number

pith:IW3LJLV4

pith:2010:IW3LJLV42U7HHX6LSKDGQ7FFBK

not attested not anchored not stored refs pending

Symmetric Auslander and Bass categories

Kiriko Kato, Peter Jorgensen

arxiv:1001.3066 v1 · 2010-01-18 · 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{IW3LJLV42U7HHX6LSKDGQ7FFBK}

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	2026-05-18T02:09:42.986066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45b6b4aebcd53e73dfcb9286687ca50aad76f94a6b1330d9b82e9336521ab234

Aliases

arxiv: 1001.3066 · arxiv_version: 1001.3066v1 · doi: 10.48550/arxiv.1001.3066 · pith_short_12: IW3LJLV42U7H · pith_short_16: IW3LJLV42U7HHX6L · pith_short_8: IW3LJLV4

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/IW3LJLV42U7HHX6LSKDGQ7FFBK \
  | 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: 45b6b4aebcd53e73dfcb9286687ca50aad76f94a6b1330d9b82e9336521ab234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2b4b95e716ba9c35b819d04c3996024a78c187868785262127801d4c5c9bffa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-01-18T14:11:05Z",
    "title_canon_sha256": "7511152bce77dc2060167eefd65cd807c49184d7ea18db8f4301c58bfb14e400"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3066",
    "kind": "arxiv",
    "version": 1
  }
}