Pith Number

pith:3MTRAUNL

pith:2014:3MTRAUNLZRDHRYUIMKFMYFCOHH

not attested not anchored not stored refs pending

KMS weights on graph C*-algebras II Factor types and ground states

Klaus Thomsen

arxiv:1412.6762 v2 · 2014-12-21 · 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{3MTRAUNLZRDHRYUIMKFMYFCOHH}

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	2026-05-18T02:16:50.953366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db271051abcc4678e288628acc144e39e2c54c8ee4f6683422dfd8fab2a51d39

Aliases

arxiv: 1412.6762 · arxiv_version: 1412.6762v2 · doi: 10.48550/arxiv.1412.6762 · pith_short_12: 3MTRAUNLZRDH · pith_short_16: 3MTRAUNLZRDHRYUI · pith_short_8: 3MTRAUNL

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/3MTRAUNLZRDHRYUIMKFMYFCOHH \
  | 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: db271051abcc4678e288628acc144e39e2c54c8ee4f6683422dfd8fab2a51d39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdd4da2d9fa00e466a50978c345adb744d1808fcab69a2a671a74d64abfdcd98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-12-21T11:03:34Z",
    "title_canon_sha256": "320a7b8d6828c39c84dcac21d00ebd244fbf53aa183d2b06d33de412960e6a1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6762",
    "kind": "arxiv",
    "version": 2
  }
}