Pith Number

pith:LJHCMKDF

pith:2010:LJHCMKDFL5QFPA67U5Q3MC2MOV

not attested not anchored not stored refs pending

Electromagnetic Klein-Gordon and Dirac equations in scale relativity

Laurent Nottale, Marie-No\"elle C\'el\'erier

arxiv:1009.2934 v1 · 2010-09-15 · physics.gen-ph · 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{LJHCMKDFL5QFPA67U5Q3MC2MOV}

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	2026-05-18T04:35:14.574346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a4e2628655f605783dfa761b60b4c755fcff54c9e49c2deec2b605b7b7b6cbd

Aliases

arxiv: 1009.2934 · arxiv_version: 1009.2934v1 · doi: 10.48550/arxiv.1009.2934 · pith_short_12: LJHCMKDFL5QF · pith_short_16: LJHCMKDFL5QFPA67 · pith_short_8: LJHCMKDF

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/LJHCMKDFL5QFPA67U5Q3MC2MOV \
  | 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: 5a4e2628655f605783dfa761b60b4c755fcff54c9e49c2deec2b605b7b7b6cbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ba887884d036b43ece67bbf1aee408c3e22ab425b3edf857fa088e0e5c6712d",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2010-09-15T14:12:10Z",
    "title_canon_sha256": "ae6224425db6a0439e6bbf1498ced5cb29823f5baf959ddac296e69bb17e267e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2934",
    "kind": "arxiv",
    "version": 1
  }
}