Pith Number

pith:5PYJQEXF

pith:2013:5PYJQEXFSY3623PR2XZAK3JLSP

not attested not anchored not stored refs pending

Emergence of complex and spinor wave functions in Scale Relativity. II. Lorentz invariance and bi-spinors

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

arxiv:1301.2186 v2 · 2013-01-09 · 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{5PYJQEXFSY3623PR2XZAK3JLSP}

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	2026-05-18T02:50:32.560831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebf09812e59637ed6df1d5f2056d2b93ef15d51a508ea9cc376b8ca2a3a24395

Aliases

arxiv: 1301.2186 · arxiv_version: 1301.2186v2 · doi: 10.48550/arxiv.1301.2186 · pith_short_12: 5PYJQEXFSY36 · pith_short_16: 5PYJQEXFSY3623PR · pith_short_8: 5PYJQEXF

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/5PYJQEXFSY3623PR2XZAK3JLSP \
  | 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: ebf09812e59637ed6df1d5f2056d2b93ef15d51a508ea9cc376b8ca2a3a24395

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "906d6dbaf06e41b39583f8b2b7f42017ecee8daf0d88469eff4796d45e34c5d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2013-01-09T12:27:05Z",
    "title_canon_sha256": "854c4bcb3c13bd018b010fe1a3512eaea35f5ec92d15ab1da90e2461560d8677"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2186",
    "kind": "arxiv",
    "version": 2
  }
}