Pith Number

pith:QDXNJPBR

pith:2013:QDXNJPBRQLJPXGG3KO4EMUROYN

not attested not anchored not stored refs pending

How (not) to teach Lorentz covariance of the Dirac equation

H. Nikolic

arxiv:1309.7070 v2 · 2013-09-16 · quant-ph · hep-ph · 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{QDXNJPBRQLJPXGG3KO4EMUROYN}

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	2026-05-18T01:47:25.817327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80eed4bc3182d2fb98db53b846522ec365ef5ec32f481f789f70192648906c07

Aliases

arxiv: 1309.7070 · arxiv_version: 1309.7070v2 · doi: 10.48550/arxiv.1309.7070 · pith_short_12: QDXNJPBRQLJP · pith_short_16: QDXNJPBRQLJPXGG3 · pith_short_8: QDXNJPBR

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/QDXNJPBRQLJPXGG3KO4EMUROYN \
  | 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: 80eed4bc3182d2fb98db53b846522ec365ef5ec32f481f789f70192648906c07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fb7d263449b9b6975b236d93336b4b3a70e62489758e0cfc1f8e3c185e9fab5",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-09-16T09:23:00Z",
    "title_canon_sha256": "13bb03c0a56c1f7875502ba825f9ef8611d3b7574f75e9820dc42c159cdbe9df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7070",
    "kind": "arxiv",
    "version": 2
  }
}