Pith Number

pith:5SCIKZ5I

pith:2015:5SCIKZ5IKNO233LOM7K7HN5WS2

not attested not anchored not stored refs pending

Diagonality of actions and KMS weights

Johannes Christensen, Klaus Thomsen

arxiv:1512.05086 v1 · 2015-12-16 · 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{5SCIKZ5IKNO233LOM7K7HN5WS2}

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	2026-05-18T01:24:13.530481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec848567a8535daded6e67d5f3b7b6969d0bf1a69ee0e126bc6f137d584e966f

Aliases

arxiv: 1512.05086 · arxiv_version: 1512.05086v1 · doi: 10.48550/arxiv.1512.05086 · pith_short_12: 5SCIKZ5IKNO2 · pith_short_16: 5SCIKZ5IKNO233LO · pith_short_8: 5SCIKZ5I

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/5SCIKZ5IKNO233LOM7K7HN5WS2 \
  | 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: ec848567a8535daded6e67d5f3b7b6969d0bf1a69ee0e126bc6f137d584e966f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70e60e6e9d6ccbd4c0b409fdef6f2e57e05ab2719b43d51e7a81cb9df707231f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-12-16T08:25:48Z",
    "title_canon_sha256": "b13a01c0c9ff24fc217ea8d71a1b4eb21e93d26a7f01d68fee16622c43e2998f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05086",
    "kind": "arxiv",
    "version": 1
  }
}