Pith Number

pith:SI53XTUQ

pith:2015:SI53XTUQQTZRP3TSQEMT4WSR7U

not attested not anchored not stored refs pending

The Pauli-Lubanski Vector, Complex Electrodynamics, and Photon Helicity

Nathan A. Lanfear, Sergei K. Suslov, Sergey I. Kryuchkov

arxiv:1504.04275 v3 · 2015-04-16 · physics.class-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{SI53XTUQQTZRP3TSQEMT4WSR7U}

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	2026-05-18T02:16:50.624453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

923bbbce9084f317ee7281193e5a51fd2482279170df30a45d38712f0bf12602

Aliases

arxiv: 1504.04275 · arxiv_version: 1504.04275v3 · doi: 10.48550/arxiv.1504.04275 · pith_short_12: SI53XTUQQTZR · pith_short_16: SI53XTUQQTZRP3TS · pith_short_8: SI53XTUQ

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/SI53XTUQQTZRP3TSQEMT4WSR7U \
  | 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: 923bbbce9084f317ee7281193e5a51fd2482279170df30a45d38712f0bf12602

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d9d7b80ee47a62c6f0fc3f1b87a571a80630054f684d116738984fa652b8f2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2015-04-16T15:27:36Z",
    "title_canon_sha256": "466e89d1a7595f01fb6b41946ea3693c6a2150b8946918fb9781abdacf92319c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04275",
    "kind": "arxiv",
    "version": 3
  }
}