Pith Number

pith:6CJUVKK5

pith:2004:6CJUVKK5XIA73U22SXIPEMZFRG

not attested not anchored not stored refs pending

KMS states on C^*-algebras associated with self-similar sets

Tsuyoshi Kajiwara, Yasuo Watatani

arxiv:math/0405514 v1 · 2004-05-27 · 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{6CJUVKK5XIA73U22SXIPEMZFRG}

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	2026-05-18T01:05:26.342491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0934aa95dba01fdd35a95d0f2332589b6a7043eb27a997179c8b70f9f9b0520

Aliases

arxiv: math/0405514 · arxiv_version: math/0405514v1 · doi: 10.48550/arxiv.math/0405514 · pith_short_12: 6CJUVKK5XIA7 · pith_short_16: 6CJUVKK5XIA73U22 · pith_short_8: 6CJUVKK5

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/6CJUVKK5XIA73U22SXIPEMZFRG \
  | 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: f0934aa95dba01fdd35a95d0f2332589b6a7043eb27a997179c8b70f9f9b0520

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efb1a7faf93db23c9ee27922f5091389145982cb318905313afb4a018991d792",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2004-05-27T00:26:03Z",
    "title_canon_sha256": "5855b77efcddf2b1ecc88eb8823dac08a389a6686ede340fa80d3eb51a4b58c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405514",
    "kind": "arxiv",
    "version": 1
  }
}