Pith Number

pith:4VA5C4K7

pith:2011:4VA5C4K7TGX2UINT6KPMWCBHR4

not attested not anchored not stored refs pending

Geometric classification of simple graph algebras

Adam P. W. S{\o}rensen

arxiv:1111.1592 v3 · 2011-11-07 · math.OA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4VA5C4K7TGX2UINT6KPMWCBHR4}

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	2026-05-18T03:55:56.017057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e541d1715f99afaa21b3f29ecb08278f15b361c58c3b8c9d3466f5dd62dcb6f2

Aliases

arxiv: 1111.1592 · arxiv_version: 1111.1592v3 · doi: 10.48550/arxiv.1111.1592 · pith_short_12: 4VA5C4K7TGX2 · pith_short_16: 4VA5C4K7TGX2UINT · pith_short_8: 4VA5C4K7

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/4VA5C4K7TGX2UINT6KPMWCBHR4 \
  | 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: e541d1715f99afaa21b3f29ecb08278f15b361c58c3b8c9d3466f5dd62dcb6f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af83babc6f717e1a503d82046e3a26f03fd878cef0d9b14ae927de06c1bbb974",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-11-07T14:26:29Z",
    "title_canon_sha256": "178cc1a07418519b744c9918cc3cd2967d8762bf18035b69facc16ab96a47628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1592",
    "kind": "arxiv",
    "version": 3
  }
}