Pith Number

pith:K253S3R7

pith:2003:K253S3R7S6WD6R7NNJEZAM3RCK

not attested not anchored not stored refs pending

Nonlinear Dirac equations and nonlinear gauge transformations

H.-D. Doebner, R. Zhdanov

arxiv:quant-ph/0304167 v1 · 2003-04-25 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K253S3R7S6WD6R7NNJEZAM3RCK}

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	2026-07-04T14:46:10.337810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56bbb96e3f97ac3f47ed6a499033711284be5fbbc9978735f28c2bbae3ef6c51

Aliases

arxiv: quant-ph/0304167 · arxiv_version: quant-ph/0304167v1 · doi: 10.48550/arxiv.quant-ph/0304167 · pith_short_12: K253S3R7S6WD · pith_short_16: K253S3R7S6WD6R7N · pith_short_8: K253S3R7

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/K253S3R7S6WD6R7NNJEZAM3RCK \
  | 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: 56bbb96e3f97ac3f47ed6a499033711284be5fbbc9978735f28c2bbae3ef6c51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c56ccca7a03411c5037058dcd466c09676bd4f97c096acff61ba928a016da65b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-04-25T15:36:00Z",
    "title_canon_sha256": "55b5a64ed152ee40c0a63bb84face54282f456e26175740366474d7e45d38748"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0304167",
    "kind": "arxiv",
    "version": 1
  }
}