pith. sign in
Pith Number

pith:Q5XP3TZU

pith:2012:Q5XP3TZU47IUIUDHDYYJEWGTWS
not attested not anchored not stored refs pending

Modern Classical Electrodynamics and Electromagnetic Radiation - Vacuum Field Theory Aspects

A.K. Prykarpatsky, N.N. Bogolubov (jr.)

arxiv:1204.6033 v2 · 2012-04-25 · gr-qc · hep-th · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Q5XP3TZU47IUIUDHDYYJEWGTWS}

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 2026-05-18T03:33:26.076471Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

876efdcf34e7d14450671e309258d3b48e8a9065316a7e7d35475a5ecbdf4004

Aliases

arxiv: 1204.6033 · arxiv_version: 1204.6033v2 · doi: 10.48550/arxiv.1204.6033 · pith_short_12: Q5XP3TZU47IU · pith_short_16: Q5XP3TZU47IUIUDH · pith_short_8: Q5XP3TZU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Q5XP3TZU47IUIUDHDYYJEWGTWS \
  | 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: 876efdcf34e7d14450671e309258d3b48e8a9065316a7e7d35475a5ecbdf4004
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f992927b2ca9ff05fad94dd10fe9f1f593b316cee4db2f79249a8a2d690c5004",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-04-25T20:09:31Z",
    "title_canon_sha256": "b55d82ac4cebca9290845b42e4e184c831a400d193a967bb06c5332af4839112"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.6033",
    "kind": "arxiv",
    "version": 2
  }
}