Pith Number

pith:ITJ5UQQI

pith:2003:ITJ5UQQI5HQF63EQGS2YQOE72L

not attested not anchored not stored refs pending

Model of the quantized electromagnetic field in the presence of classical sources

Jan Naudts, Wojciech De Roeck

arxiv:math-ph/0305005 v2 · 2003-05-03 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITJ5UQQI5HQF63EQGS2YQOE72L}

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	2026-07-04T16:41:38.273011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44d3da4208e9e05f6c9034b588389fd2d097f4d4178a30e34eac00c5d7f66cd7

Aliases

arxiv: math-ph/0305005 · arxiv_version: math-ph/0305005v2 · doi: 10.48550/arxiv.math-ph/0305005 · pith_short_12: ITJ5UQQI5HQF · pith_short_16: ITJ5UQQI5HQF63EQ · pith_short_8: ITJ5UQQI

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/ITJ5UQQI5HQF63EQGS2YQOE72L \
  | 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: 44d3da4208e9e05f6c9034b588389fd2d097f4d4178a30e34eac00c5d7f66cd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "404d2e5d06f1fa74c7b9b0a96c96a4df1314ce8440bfe175155fb2057d0188a8",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-05-03T14:35:06Z",
    "title_canon_sha256": "59e53f0b6ad3a89a4c4feb6c51057e5f6d33425d078b71988b532fdd601b5b67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0305005",
    "kind": "arxiv",
    "version": 2
  }
}