Pith Number

pith:UU2TCLYQ

pith:2008:UU2TCLYQTCYE4M7ULWMTICHKWT

not attested not anchored not stored refs pending

Realizations of AF-algebras as graph algebras, Exel-Laca algebras, and ultragraph algebras

Aidan Sims, Mark Tomforde, Takeshi Katsura

arxiv:0810.4091 v3 · 2008-10-22 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UU2TCLYQTCYE4M7ULWMTICHKWT}

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	2026-07-04T15:42:49.982662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a535312f1098b04e33f45d993408eab4e4d256dbc938e7aaeac335d7933a3f4a

Aliases

arxiv: 0810.4091 · arxiv_version: 0810.4091v3 · doi: 10.48550/arxiv.0810.4091 · pith_short_12: UU2TCLYQTCYE · pith_short_16: UU2TCLYQTCYE4M7U · pith_short_8: UU2TCLYQ

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/UU2TCLYQTCYE4M7ULWMTICHKWT \
  | 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: a535312f1098b04e33f45d993408eab4e4d256dbc938e7aaeac335d7933a3f4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "443ddc7a1066df66639d57d89eb51208bc4b1f4eeb34d3b6aa7bb5ef6bcba114",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2008-10-22T15:37:36Z",
    "title_canon_sha256": "7211856c5af1c73b99c933d39c097271ce77ca139e1c43abca4dda18138cfe5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.4091",
    "kind": "arxiv",
    "version": 3
  }
}