Pith Number

pith:JBJTHUPL

pith:2003:JBJTHUPLNYGR2R3DTO2PZ464AC

not attested not anchored not stored refs pending

Zero-Energy Flows and Vortex Patterns in Quantum Mechanics

Tsunehiro Kobayashi

arxiv:quant-ph/0302148 v1 · 2003-02-20 · 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{JBJTHUPLNYGR2R3DTO2PZ464AC}

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	2026-05-18T01:37:59.546814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

485333d1eb6e0d1d47639bb4fcf3dc009830ea6ce3bd82b6ff5ff9a8cab5a8b8

Aliases

arxiv: quant-ph/0302148 · arxiv_version: quant-ph/0302148v1 · doi: 10.48550/arxiv.quant-ph/0302148 · pith_short_12: JBJTHUPLNYGR · pith_short_16: JBJTHUPLNYGR2R3D · pith_short_8: JBJTHUPL

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/JBJTHUPLNYGR2R3DTO2PZ464AC \
  | 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: 485333d1eb6e0d1d47639bb4fcf3dc009830ea6ce3bd82b6ff5ff9a8cab5a8b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb51fec60922005b3bdde92fea89f01e6e9f7ff504f8ca9991e31fe667ab6cc9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-02-20T07:41:00Z",
    "title_canon_sha256": "ed81a098c4080c71fa72093e304f63c6489117bd8a03eea4c828af9336e523c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0302148",
    "kind": "arxiv",
    "version": 1
  }
}