Pith Number

pith:KZPKXNPE

pith:2007:KZPKXNPEDPAVOUCBIIBZR5EMFG

not attested not anchored not stored refs pending

Serial coalgebras and their valued Gabriel quivers

Gabriel Navarro, Jos\'e G\'omez-Torrecillas

arxiv:0707.0132 v1 · 2007-07-01 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KZPKXNPEDPAVOUCBIIBZR5EMFG}

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	2026-05-18T01:09:24.583218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

565eabb5e41bc1575041420398f48c29b4789f2377f7be0e5ae1346ce38b365f

Aliases

arxiv: 0707.0132 · arxiv_version: 0707.0132v1 · doi: 10.48550/arxiv.0707.0132 · pith_short_12: KZPKXNPEDPAV · pith_short_16: KZPKXNPEDPAVOUCB · pith_short_8: KZPKXNPE

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/KZPKXNPEDPAVOUCBIIBZR5EMFG \
  | 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: 565eabb5e41bc1575041420398f48c29b4789f2377f7be0e5ae1346ce38b365f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f950ff31087e5f2bc9d18232029aafd0e20dc7cef10bf408902e357b460f476",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-07-01T22:56:40Z",
    "title_canon_sha256": "3b717bf1859a114121e965323450255d5a527904a07d064587bf60fa44552232"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0132",
    "kind": "arxiv",
    "version": 1
  }
}