Pith Number

pith:KYNLLPYD

pith:2026:KYNLLPYDHBHY4A5LZVL7OKROOO

not attested not anchored not stored refs pending

Measure-free Koopman-von Neumann Dynamics and Noncommutative Geometry

Dimitrios Giannakis, Michael Montgomery

arxiv:2608.11591 v1 · 2026-08-12 · 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{KYNLLPYDHBHY4A5LZVL7OKROOO}

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	2026-08-13T00:22:15.478410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

561ab5bf03384f8e03abcd57f72a2e73a31e5cc647c3826b2dcecc44b0cc3b21

Aliases

arxiv: 2608.11591 · arxiv_version: 2608.11591v1 · doi: 10.48550/arxiv.2608.11591 · pith_short_12: KYNLLPYDHBHY · pith_short_16: KYNLLPYDHBHY4A5L · pith_short_8: KYNLLPYD

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/KYNLLPYDHBHY4A5LZVL7OKROOO \
  | 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: 561ab5bf03384f8e03abcd57f72a2e73a31e5cc647c3826b2dcecc44b0cc3b21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32b5d0bc46ee229710eb260479d3e30eacc6429f7dd49047580b920ba33376e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-08-12T03:04:42Z",
    "title_canon_sha256": "65dbf8a754d8dd35db01175b98c8d2794bab010b98f1fd09f24216616851b0d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11591",
    "kind": "arxiv",
    "version": 1
  }
}