Pith Number

pith:JOXTKUX5

pith:2026:JOXTKUX5BKBMKIL5MW66OQQ63A

not attested not anchored not stored refs pending

Representation of the causal logic for the Dirac system and the electron

Carmine De Rosa, Domenico P.L. Castrigiano, Valter Moretti

arxiv:2607.21266 v1 · 2026-07-23 · math-ph · hep-th · math.MP · 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{JOXTKUX5BKBMKIL5MW66OQQ63A}

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	2026-07-24T01:24:22.819022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4baf3552fd0a82c5217d65bde7421ed810663b46053a0125aa06b26dde3b84ed

Aliases

arxiv: 2607.21266 · arxiv_version: 2607.21266v1 · doi: 10.48550/arxiv.2607.21266 · pith_short_12: JOXTKUX5BKBM · pith_short_16: JOXTKUX5BKBMKIL5 · pith_short_8: JOXTKUX5

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/JOXTKUX5BKBMKIL5MW66OQQ63A \
  | 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: 4baf3552fd0a82c5217d65bde7421ed810663b46053a0125aa06b26dde3b84ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "256d13edc00e61d2f3716e57dd27fd3fc1775f74d65e39e9f2aad90f7971fe0c",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-23T12:38:41Z",
    "title_canon_sha256": "1e778b612bd5a197c09e011e425cf06e86cdc422de1f3b778fd0f892f04f0c40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21266",
    "kind": "arxiv",
    "version": 1
  }
}