Pith Number

pith:YCC5KR6A

pith:2002:YCC5KR6AYCZGVD6V6V5KT5JEUB

not attested not anchored not stored refs pending

The ordered K_0-group of a graph C*-algebra

Mark Tomforde

arxiv:math/0204095 v3 · 2002-04-08 · 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{YCC5KR6AYCZGVD6V6V5KT5JEUB}

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	2026-07-04T14:36:01.351471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c085d547c0c0b26a8fd5f57aa9f524a0618ef69573f64cbb4be6dde78c23d2f2

Aliases

arxiv: math/0204095 · arxiv_version: math/0204095v3 · doi: 10.48550/arxiv.math/0204095 · pith_short_12: YCC5KR6AYCZG · pith_short_16: YCC5KR6AYCZGVD6V · pith_short_8: YCC5KR6A

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/YCC5KR6AYCZGVD6V6V5KT5JEUB \
  | 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: c085d547c0c0b26a8fd5f57aa9f524a0618ef69573f64cbb4be6dde78c23d2f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8d784ff004e6539a37e6449b76cf196cfa61ee67bef0e4345e5df0486364ac0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2002-04-08T21:57:33Z",
    "title_canon_sha256": "ee6b770bbbb5b68a8493fedcf17519e1af7a2f86e7fbdb60b8fda361c5a46d23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0204095",
    "kind": "arxiv",
    "version": 3
  }
}