Pith Number

pith:W5BRQJKB

pith:2021:W5BRQJKBCXFCLN3QVB66HQPQKR

not attested not anchored not stored refs pending

Introduction to Koopman-von Neumann Mechanics

Daniel Piasecki

arxiv:2112.05619 v2 · 2021-12-10 · 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{W5BRQJKBCXFCLN3QVB66HQPQKR}

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	2026-07-05T03:43:46.180781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b74318254115ca25b770a87de3c1f05441414cbe8a482d9877ee7cf5e543a11d

Aliases

arxiv: 2112.05619 · arxiv_version: 2112.05619v2 · doi: 10.48550/arxiv.2112.05619 · pith_short_12: W5BRQJKBCXFC · pith_short_16: W5BRQJKBCXFCLN3Q · pith_short_8: W5BRQJKB

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/W5BRQJKBCXFCLN3QVB66HQPQKR \
  | 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: b74318254115ca25b770a87de3c1f05441414cbe8a482d9877ee7cf5e543a11d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07a40c37db65ff6a01d0855ab2154178dd210bc7a5b8d074b2e1fcdf941b2d6c",
    "cross_cats_sorted": [
      "physics.class-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-12-10T15:54:39Z",
    "title_canon_sha256": "a450a9a6d98d44077b87c4b05b3edec1fc00691151741e3884a738a03625b382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.05619",
    "kind": "arxiv",
    "version": 2
  }
}