Pith Number

pith:AZ7PC33Q

pith:2002:AZ7PC33QVMBH367NKVJNDU7KBY

not attested not anchored not stored refs pending

Covariance approach to the free photon field

Jan Naudts, Maciej Kuna

arxiv:quant-ph/0201055 v1 · 2002-01-14 · 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{AZ7PC33QVMBH367NKVJNDU7KBY}

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	2026-05-18T00:37:06.607776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

067ef16f70ab027dfbed5552d1d3ea0e0f2ff63c0ed65a6b5da9c1eeef6c729f

Aliases

arxiv: quant-ph/0201055 · arxiv_version: quant-ph/0201055v1 · doi: 10.48550/arxiv.quant-ph/0201055 · pith_short_12: AZ7PC33QVMBH · pith_short_16: AZ7PC33QVMBH367N · pith_short_8: AZ7PC33Q

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/AZ7PC33QVMBH367NKVJNDU7KBY \
  | 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: 067ef16f70ab027dfbed5552d1d3ea0e0f2ff63c0ed65a6b5da9c1eeef6c729f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fcf29266d7b0612c9dc387b5b23a6e04ac0146b509ade8f66d5f8ce32fb1168",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-01-14T12:06:59Z",
    "title_canon_sha256": "1ea3f90bfde2c79ed4d7a83dddca500aaf4c2741c9471379a3b4862ae5e8dade"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0201055",
    "kind": "arxiv",
    "version": 1
  }
}