Pith Number

pith:T5KWAOA4

pith:2022:T5KWAOA44RGMQOWQRTFYIO6MPF

not attested not anchored not stored refs pending

Free to Harmonic Unitary Transformations in Quantum and Koopman Dynamics

Denys I. Bondar, Gerard McCaul

arxiv:2207.09515 v2 · 2022-07-19 · quant-ph · physics.class-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T5KWAOA44RGMQOWQRTFYIO6MPF}

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	2026-07-05T05:18:35.032457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f5560381ce44cc83ad08ccb843bcc795eb517c21b9b98042dd93231af0bc874

Aliases

arxiv: 2207.09515 · arxiv_version: 2207.09515v2 · doi: 10.48550/arxiv.2207.09515 · pith_short_12: T5KWAOA44RGM · pith_short_16: T5KWAOA44RGMQOWQ · pith_short_8: T5KWAOA4

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/T5KWAOA44RGMQOWQRTFYIO6MPF \
  | 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: 9f5560381ce44cc83ad08ccb843bcc795eb517c21b9b98042dd93231af0bc874

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e2b586659894ba53b6cc9ebaa9a44e40d29fb4bf6c52d171fc8618d53a9ea50",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-07-19T18:59:01Z",
    "title_canon_sha256": "b6c01d36174f4b093bacba0cc87f3de384c3a609d61685d4f716a8d56019726f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.09515",
    "kind": "arxiv",
    "version": 2
  }
}