Pith Number

pith:MTILELDR

pith:2019:MTILELDREPLGPP54K25CCT6EML

not attested not anchored not stored refs pending

The Pauli and $\text{L\'{e}vy-Leblond}$ Equations, and the Spin Current Density

James M. Wilkes

arxiv:1908.03276 v2 · 2019-08-08 · 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{MTILELDREPLGPP54K25CCT6EML}

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	2026-07-05T00:58:04.189235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64d0b22c7123d667bfbc56ba214fc462f6b7facdca51c5a17e9ed8d956c27790

Aliases

arxiv: 1908.03276 · arxiv_version: 1908.03276v2 · doi: 10.48550/arxiv.1908.03276 · pith_short_12: MTILELDREPLG · pith_short_16: MTILELDREPLGPP54 · pith_short_8: MTILELDR

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/MTILELDREPLGPP54K25CCT6EML \
  | 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: 64d0b22c7123d667bfbc56ba214fc462f6b7facdca51c5a17e9ed8d956c27790

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "896901e0529fa3122fa30eb1b2739d438563e8b64ad1f4c85ed60aa2ef827c89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-08-08T22:14:13Z",
    "title_canon_sha256": "d8a7d442bbdad15a6e80715636ff012c8cec6177d0400718ae9f2f721c154e25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03276",
    "kind": "arxiv",
    "version": 2
  }
}