Pith Number

pith:6E6V45LN

pith:1999:6E6V45LNZ5N23PBXVCN3ELVJRN

not attested not anchored not stored refs pending

The Dirac-Hestenes Lagrangian

J. Vaz, S. De Leo, WA. Rodrigues (IMECC-UNICAMP), Z. Oziewicz

arxiv:hep-ph/9906243 v1 · 1999-06-03 · hep-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{6E6V45LNZ5N23PBXVCN3ELVJRN}

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	2026-05-18T02:36:27.859208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f13d5e756dcf5badbc37a89bb22ea98b5f94497ab9c4619224dff675f92a46df

Aliases

arxiv: hep-ph/9906243 · arxiv_version: hep-ph/9906243v1 · doi: 10.48550/arxiv.hep-ph/9906243 · pith_short_12: 6E6V45LNZ5N2 · pith_short_16: 6E6V45LNZ5N23PBX · pith_short_8: 6E6V45LN

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/6E6V45LNZ5N23PBXVCN3ELVJRN \
  | 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: f13d5e756dcf5badbc37a89bb22ea98b5f94497ab9c4619224dff675f92a46df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e58ac564e51d145929c9d4cc2ac7be374b77427c754f2734f2f70f42c54b52a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-06-03T22:12:39Z",
    "title_canon_sha256": "42180fa3d2b3a1f28896b31d3b6688b1ec30131530aa67048ea7bd30f41ce66a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9906243",
    "kind": "arxiv",
    "version": 1
  }
}