Pith Number

pith:SDUFQWSN

pith:2004:SDUFQWSNT2DPHJNDNMRLVLSIH7

not attested not anchored not stored refs pending

Particle beams guided by electromagnetic vortices: New solutions of the Lorentz, Schr\"odinger, Klein-Gordon, and Dirac equations

Iwo Bialynicki-Birula

arxiv:physics/0403078 v1 · 2004-03-14 · physics.class-ph · physics.gen-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{SDUFQWSNT2DPHJNDNMRLVLSIH7}

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	2026-05-18T04:35:15.211851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90e8585a4d9e86f3a5a36b22baae483ff88528dac01398886858f261c771c7c2

Aliases

arxiv: physics/0403078 · arxiv_version: physics/0403078v1 · doi: 10.48550/arxiv.physics/0403078 · pith_short_12: SDUFQWSNT2DP · pith_short_16: SDUFQWSNT2DPHJND · pith_short_8: SDUFQWSN

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/SDUFQWSNT2DPHJNDNMRLVLSIH7 \
  | 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: 90e8585a4d9e86f3a5a36b22baae483ff88528dac01398886858f261c771c7c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca2ad76a2f6cc26e7446ff172a9b7f75c35480c82b734d06829cd3883c94a2d1",
    "cross_cats_sorted": [
      "physics.gen-ph"
    ],
    "license": "",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2004-03-14T20:07:37Z",
    "title_canon_sha256": "f7bf749aa47c254bd6d2416d8a25db40b2b02a5611ebae264bc32535a459cceb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0403078",
    "kind": "arxiv",
    "version": 1
  }
}