Pith Number

pith:SWWFRLBP

pith:2003:SWWFRLBPG5TVHG5DNOP2F73AK5

not attested not anchored not stored refs pending

Chaos and Quantum-Classical Correspondence via Phase Space Distribution Functions

Jiangbin Gong, Paul Brumer

arxiv:quant-ph/0309214 v1 · 2003-09-29 · quant-ph · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SWWFRLBPG5TVHG5DNOP2F73AK5}

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	2026-07-04T16:42:37.830232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95ac58ac2f3767539ba36b9fa2ff605770be9076e9ea126a91f212a171bc8327

Aliases

arxiv: quant-ph/0309214 · arxiv_version: quant-ph/0309214v1 · doi: 10.48550/arxiv.quant-ph/0309214 · pith_short_12: SWWFRLBPG5TV · pith_short_16: SWWFRLBPG5TVHG5D · pith_short_8: SWWFRLBP

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/SWWFRLBPG5TVHG5DNOP2F73AK5 \
  | 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: 95ac58ac2f3767539ba36b9fa2ff605770be9076e9ea126a91f212a171bc8327

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3f69b130bcabec441323c577d97d57e98d6ef7b3e245260ef339e4093fb1b89",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-09-29T19:23:17Z",
    "title_canon_sha256": "c294277adfa69d458dd6c3625b71a0f6bd387e138dedd0a57ba14a916fd09517"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0309214",
    "kind": "arxiv",
    "version": 1
  }
}