Pith Number

pith:XZPIFDT5

pith:2002:XZPIFDT5AUOKGVELX4NSYPL6GD

not attested not anchored not stored refs pending

Hilbert Space Structure in Classical Mechanics: (I)

D. Mauro, E. Deotto, E. Gozzi

arxiv:quant-ph/0208046 v3 · 2002-08-07 · 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{XZPIFDT5AUOKGVELX4NSYPL6GD}

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

1 paper in Pith

Note About Koopman-von Neumann Theory and Density Matrix

Receipt and verification

First computed	2026-07-04T16:36:08.352795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be5e828e7d051ca3548bbf1b2c3d7e30ec51c28273b67b15da1053bf68bf397a

Aliases

arxiv: quant-ph/0208046 · arxiv_version: quant-ph/0208046v3 · doi: 10.48550/arxiv.quant-ph/0208046 · pith_short_12: XZPIFDT5AUOK · pith_short_16: XZPIFDT5AUOKGVEL · pith_short_8: XZPIFDT5

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/XZPIFDT5AUOKGVELX4NSYPL6GD \
  | 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: be5e828e7d051ca3548bbf1b2c3d7e30ec51c28273b67b15da1053bf68bf397a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "247b705d660549a928cb33149b821f8010f4e4636763d82dff45b4198b7fadc2",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-08-07T09:59:34Z",
    "title_canon_sha256": "e4de8121cb8e7684936dd80fd7f3b55e5e2bc7c07d7ec16c43395874bc237f1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0208046",
    "kind": "arxiv",
    "version": 3
  }
}