Pith Number

pith:MZS63BVW

pith:2010:MZS63BVW4BTJTR3J6R7CGNZJ3K

not attested not anchored not stored refs pending

KMS states on finite-graph C*-algebras

Tsuyoshi Kajiwara, Yasuo Watatani

arxiv:1007.4248 v1 · 2010-07-24 · 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{MZS63BVW4BTJTR3J6R7CGNZJ3K}

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	2026-07-04T17:32:12.764977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6665ed86b6e06699c769f47e233729daa95a7c8548d3f94a5cafd06b9b2462f2

Aliases

arxiv: 1007.4248 · arxiv_version: 1007.4248v1 · doi: 10.48550/arxiv.1007.4248 · pith_short_12: MZS63BVW4BTJ · pith_short_16: MZS63BVW4BTJTR3J · pith_short_8: MZS63BVW

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/MZS63BVW4BTJTR3J6R7CGNZJ3K \
  | 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: 6665ed86b6e06699c769f47e233729daa95a7c8548d3f94a5cafd06b9b2462f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9726d602705759cfda6c88d12968d0b0bea41f79153fcf395e7fe05bd6a2530c",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-07-24T06:29:42Z",
    "title_canon_sha256": "2bbf9a567bc9680fe85c0148ae76d2eabba9b7d2076cf5c1f5e3c523939234c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4248",
    "kind": "arxiv",
    "version": 1
  }
}