Pith Number

pith:6RAZ7FTS

pith:2015:6RAZ7FTSN7RJU2XPK3J4PCEPUJ

not attested not anchored not stored refs pending

A manifestly Lorentz covariant, interacting and non-commutative Dirac equation

F. G. Scholtz, P. H. Williams

arxiv:1512.04253 v2 · 2015-12-14 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6RAZ7FTSN7RJU2XPK3J4PCEPUJ}

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	2026-05-18T01:06:24.508016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4419f96726fe29a6aef56d3c7888fa24d5454ffdd7e885cc772ec0ce354d6dd

Aliases

arxiv: 1512.04253 · arxiv_version: 1512.04253v2 · doi: 10.48550/arxiv.1512.04253 · pith_short_12: 6RAZ7FTSN7RJ · pith_short_16: 6RAZ7FTSN7RJU2XP · pith_short_8: 6RAZ7FTS

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/6RAZ7FTSN7RJU2XPK3J4PCEPUJ \
  | 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: f4419f96726fe29a6aef56d3c7888fa24d5454ffdd7e885cc772ec0ce354d6dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91dd3bf7cecb8775216e37d088cb9d20b5c2beecfbdb9701f739f9d651e39940",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-14T10:54:53Z",
    "title_canon_sha256": "b9ae8a214fd769139b9f5565911f9478de7907d7e6a1386d0d3fbb03607b0188"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04253",
    "kind": "arxiv",
    "version": 2
  }
}