Pith Number

pith:M3TI4MO7

pith:2017:M3TI4MO7AWWIB7NFHXNFNWRTX7

not attested not anchored not stored refs pending

Torsion and Gauge Invariance in Maxwell-Dirac Electrodynamics

H.T. Nieh

arxiv:1701.07132 v2 · 2017-01-25 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3TI4MO7AWWIB7NFHXNFNWRTX7}

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	2026-05-18T00:51:57.010019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66e68e31df05ac80fda53dda56da33bfd3d28b7c8a494ca40dffde81b90b8b17

Aliases

arxiv: 1701.07132 · arxiv_version: 1701.07132v2 · doi: 10.48550/arxiv.1701.07132 · pith_short_12: M3TI4MO7AWWI · pith_short_16: M3TI4MO7AWWIB7NF · pith_short_8: M3TI4MO7

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/M3TI4MO7AWWIB7NFHXNFNWRTX7 \
  | 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: 66e68e31df05ac80fda53dda56da33bfd3d28b7c8a494ca40dffde81b90b8b17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa8b278f959b8f9777d8518d77b03d8319661da85f6798ef018dbdbe2b275d79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-01-25T01:41:08Z",
    "title_canon_sha256": "9876930cf12737002efc235e7357483e50d1c9edb52bd851a2da53a6ee67c9c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07132",
    "kind": "arxiv",
    "version": 2
  }
}