Pith Number

pith:XWYLIVMB

pith:2012:XWYLIVMBXRK3SA5Y6MP2TDW4LC

not attested not anchored not stored refs pending

Summary of a non-uniqueness problem of the covariant Dirac theory and of two solutions of it

Mayeul Arminjon

arxiv:1209.5738 v2 · 2012-09-25 · 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{XWYLIVMBXRK3SA5Y6MP2TDW4LC}

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	2026-05-18T03:19:22.469576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdb0b45581bc55b903b8f31fa98edc58ab68dd1f8efe1df2bcd68e7d199c9ecd

Aliases

arxiv: 1209.5738 · arxiv_version: 1209.5738v2 · doi: 10.48550/arxiv.1209.5738 · pith_short_12: XWYLIVMBXRK3 · pith_short_16: XWYLIVMBXRK3SA5Y · pith_short_8: XWYLIVMB

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/XWYLIVMBXRK3SA5Y6MP2TDW4LC \
  | 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: bdb0b45581bc55b903b8f31fa98edc58ab68dd1f8efe1df2bcd68e7d199c9ecd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80743c45f4894c11c8f826125ae87a9152fd0d6aaabec955e1f303b630ab0b6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-09-25T08:38:15Z",
    "title_canon_sha256": "bf2dcdc9388407f09beeb758e69b8b8083374e6ce74cde92250c9b99dccf86e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5738",
    "kind": "arxiv",
    "version": 2
  }
}