Pith Number

pith:CURMENQM

pith:2017:CURMENQML2ZYTMVJU45KI5CNG5

not attested not anchored not stored refs pending

Haar systems, KMS states on von Neumann algebras and $C^*$-algebras on dynamically defined groupoids and Noncommutative Integration

Artur O. Lopes, Gabriel Mantovani, Gilles G. de Castro

arxiv:1711.04572 v6 · 2017-11-13 · math.DS · cond-mat.stat-mech · math-ph · math.FA · math.MP · 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{CURMENQML2ZYTMVJU45KI5CNG5}

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	2026-05-17T23:51:56.078355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1522c2360c5eb389b2a9a73aa4744d3751cadfa8ffdb045e2cc0995cd03992c5

Aliases

arxiv: 1711.04572 · arxiv_version: 1711.04572v6 · doi: 10.48550/arxiv.1711.04572 · pith_short_12: CURMENQML2ZY · pith_short_16: CURMENQML2ZYTMVJ · pith_short_8: CURMENQM

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/CURMENQML2ZYTMVJU45KI5CNG5 \
  | 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: 1522c2360c5eb389b2a9a73aa4744d3751cadfa8ffdb045e2cc0995cd03992c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51571bcfdbe879073bf1b3ebcac1aaef6fe83e492e2fa4b15eaf5182831e95a6",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.FA",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-13T13:26:52Z",
    "title_canon_sha256": "10bbbc3cbbd1dab7f95e1ce321dd7b5e9306932b73e34e5717ad3ce68d8b3569"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04572",
    "kind": "arxiv",
    "version": 6
  }
}