Pith. sign in
Pith Number

pith:YCOWIJLR

pith:2014:YCOWIJLRKLGIVOMG57J32NQCMW
not attested not anchored not stored refs pending

On the use of projection operators in electrodynamics

Andor Frenkel, Istv\'an R\'acz

arxiv:1407.7396 v2 · 2014-07-28 · math-ph · gr-qc · math.MP · physics.class-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YCOWIJLRKLGIVOMG57J32NQCMW}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-05-18T02:30:54.854104Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c09d64257152cc8ab986efd3bd360265935b895db08090b16e3b93de23b21a68

Aliases

arxiv: 1407.7396 · arxiv_version: 1407.7396v2 · doi: 10.48550/arxiv.1407.7396 · pith_short_12: YCOWIJLRKLGI · pith_short_16: YCOWIJLRKLGIVOMG · pith_short_8: YCOWIJLR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YCOWIJLRKLGIVOMG57J32NQCMW \
  | 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: c09d64257152cc8ab986efd3bd360265935b895db08090b16e3b93de23b21a68
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e1d55775dfaef4995b92eca4857e62a7dc968fb46aea2b0f2591e456623ea41e",
    "cross_cats_sorted": [
      "gr-qc",
      "math.MP",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-07-28T12:49:17Z",
    "title_canon_sha256": "5be2bed1f265fed54b6a93bcf743ba1e5e716ea125ecb75c6d4c26680af58c13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7396",
    "kind": "arxiv",
    "version": 2
  }
}