Pith Number

pith:QQJ4UFW2

pith:2009:QQJ4UFW2AWD6M6CQGLPGUXKJ3K

not attested not anchored not stored refs pending

From Classical to Quantum Mechanics through Optics

Ana Ros, Jaume Masoliver

arxiv:0909.3258 v1 · 2009-09-17 · physics.hist-ph · physics.ed-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{QQJ4UFW2AWD6M6CQGLPGUXKJ3K}

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

Gravitational-wave lensing beyond rays: a disordered-system approach

Receipt and verification

First computed	2026-05-18T04:32:56.023050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8413ca16da0587e6785032de6a5d49da87bfe8d3708bc883538aa1faf4e0cc7b

Aliases

arxiv: 0909.3258 · arxiv_version: 0909.3258v1 · doi: 10.48550/arxiv.0909.3258 · pith_short_12: QQJ4UFW2AWD6 · pith_short_16: QQJ4UFW2AWD6M6CQ · pith_short_8: QQJ4UFW2

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/QQJ4UFW2AWD6M6CQGLPGUXKJ3K \
  | 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: 8413ca16da0587e6785032de6a5d49da87bfe8d3708bc883538aa1faf4e0cc7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "916f14f833f2a73cd3840fdfd0529d14f0e9c96180d43445f41c1d11b7ebcfcb",
    "cross_cats_sorted": [
      "physics.ed-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.hist-ph",
    "submitted_at": "2009-09-17T15:53:21Z",
    "title_canon_sha256": "4575fd74ff1f5c5ca139d7ffb55b4199312fa4543a76e117b7749f9ee9809c4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3258",
    "kind": "arxiv",
    "version": 1
  }
}