Pith Number

pith:P3QPHXRS

pith:1996:P3QPHXRSICJ4LQ4DOJNVVOM5AX

not attested not anchored not stored refs pending

Nambu-Type Generalization of the Dirac Equation

Marek Czachor

arxiv:quant-ph/9601015 v1 · 1996-01-16 · quant-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{P3QPHXRSICJ4LQ4DOJNVVOM5AX}

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	2026-05-18T02:35:06.738806Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ee0f3de324093c5c383725b5ab99d05ff7cbac5c4aee9bdd7f8729b0b70fbd5

Aliases

arxiv: quant-ph/9601015 · arxiv_version: quant-ph/9601015v1 · doi: 10.48550/arxiv.quant-ph/9601015 · pith_short_12: P3QPHXRSICJ4 · pith_short_16: P3QPHXRSICJ4LQ4D · pith_short_8: P3QPHXRS

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/P3QPHXRSICJ4LQ4DOJNVVOM5AX \
  | 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: 7ee0f3de324093c5c383725b5ab99d05ff7cbac5c4aee9bdd7f8729b0b70fbd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2279f8ad25e6fcd00894d859c77e4bf9f21c1a4839d213a0ded2dac0255c6392",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1996-01-16T09:26:55Z",
    "title_canon_sha256": "203283d269b69266cd58f222ad96ed092853509b713f1f09de0dfe0304343aff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9601015",
    "kind": "arxiv",
    "version": 1
  }
}