Pith Number

pith:IRZH34GW

pith:2006:IRZH34GW23JW7NGFWGBHOM6XZ3

not attested not anchored not stored refs pending

Ultragraph C*-algebras via topological quivers

Aidan Sims, Mark Tomforde, Paul S. Muhly, Takeshi Katsura

arxiv:math/0611318 v2 · 2006-11-10 · 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{IRZH34GW23JW7NGFWGBHOM6XZ3}

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	2026-07-04T15:11:09.390289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44727df0d6d6d36fb4c5b1827733d7ced7da23c5dc2b39e92b74cfe2a4a9d21b

Aliases

arxiv: math/0611318 · arxiv_version: math/0611318v2 · doi: 10.48550/arxiv.math/0611318 · pith_short_12: IRZH34GW23JW · pith_short_16: IRZH34GW23JW7NGF · pith_short_8: IRZH34GW

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/IRZH34GW23JW7NGFWGBHOM6XZ3 \
  | 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: 44727df0d6d6d36fb4c5b1827733d7ced7da23c5dc2b39e92b74cfe2a4a9d21b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a9d91b823b4feb1f83108dff657354a8b83d20dfcfc99a10d2df3181a39c210",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2006-11-10T16:29:34Z",
    "title_canon_sha256": "84c12cb897a721cf82159b25618ad8b71f7d9ee87fbc1b3580ffc3d4b7d02252"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611318",
    "kind": "arxiv",
    "version": 2
  }
}