Pith Number

pith:X3XCTVOM

pith:2001:X3XCTVOM3EIJQWHELVJ7ZSTW6J

not attested not anchored not stored refs pending

On Koopman-von Neumann Waves

D. Mauro

arxiv:quant-ph/0105112 v1 · 2001-05-23 · quant-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3XCTVOM3EIJQWHELVJ7ZSTW6J}

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.

Cited by

2 papers in Pith

Note About Koopman-von Neumann Theory and Density Matrix

Quantum mechanics for classical transport equations

Receipt and verification

First computed	2026-07-04T16:28:59.249204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beee29d5ccd9109858e45d53fcca76f257e2e50ab9f9e195215a22b902db553a

Aliases

arxiv: quant-ph/0105112 · arxiv_version: quant-ph/0105112v1 · doi: 10.48550/arxiv.quant-ph/0105112 · pith_short_12: X3XCTVOM3EIJ · pith_short_16: X3XCTVOM3EIJQWHE · pith_short_8: X3XCTVOM

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/X3XCTVOM3EIJQWHELVJ7ZSTW6J \
  | 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: beee29d5ccd9109858e45d53fcca76f257e2e50ab9f9e195215a22b902db553a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d81cce3aaea730b9b28e2c360ef5812f04375c630c9ef5bcd11f1b44cd7c0b1f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-05-23T13:36:28Z",
    "title_canon_sha256": "50ad3d4ff5e95786cdee3489c1311334eaf51bc54f06ec832a5b7ec2b6984eef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0105112",
    "kind": "arxiv",
    "version": 1
  }
}