Pith Number

pith:LNV5IVSQ

pith:2004:LNV5IVSQPR47FPXKKRK5BM3WUD

not attested not anchored not stored refs pending

Non-Linear Canonical Transformations in Classical and Quantum Mechanics

Alastair Brodlie

arxiv:quant-ph/0401160 v2 · 2004-01-26 · quant-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{LNV5IVSQPR47FPXKKRK5BM3WUD}

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	2026-05-18T01:37:58.746587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b6bd456507c79f2beea5455d0b376a0ca7c64267d71c3e495f402996b3b98a3

Aliases

arxiv: quant-ph/0401160 · arxiv_version: quant-ph/0401160v2 · doi: 10.48550/arxiv.quant-ph/0401160 · pith_short_12: LNV5IVSQPR47 · pith_short_16: LNV5IVSQPR47FPXK · pith_short_8: LNV5IVSQ

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/LNV5IVSQPR47FPXKKRK5BM3WUD \
  | 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: 5b6bd456507c79f2beea5455d0b376a0ca7c64267d71c3e495f402996b3b98a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85180243d1337abdee951ac8c998faa4bb50c2782eb4fd697ad0a819d2e52abc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-01-26T19:20:11Z",
    "title_canon_sha256": "41a1642ed79b326fb06fc4cdf84031b15ac24da881f0c4c9756ae946da70c350"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0401160",
    "kind": "arxiv",
    "version": 2
  }
}