pith. sign in
Pith Number

pith:X5YID7VO

pith:2011:X5YID7VONVND5RVOP3DU2K7UZ6
not attested not anchored not stored refs pending

Reciprocity in quantum, electromagnetic and other wave scattering

L\'aszl\'o De\'ak, Tam\'as F\"ul\"op

arxiv:1108.5743 v3 · 2011-08-29 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{X5YID7VONVND5RVOP3DU2K7UZ6}

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 2026-05-18T01:26:39.921991Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bf7081feae6d5a3ec6ae7ec74d2bf4cfb39c207c912c5dfc673b6074892841b1

Aliases

arxiv: 1108.5743 · arxiv_version: 1108.5743v3 · doi: 10.48550/arxiv.1108.5743 · pith_short_12: X5YID7VONVND · pith_short_16: X5YID7VONVND5RVO · pith_short_8: X5YID7VO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/X5YID7VONVND5RVOP3DU2K7UZ6 \
  | 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: bf7081feae6d5a3ec6ae7ec74d2bf4cfb39c207c912c5dfc673b6074892841b1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a8eba8513432ce1ee6bd4e1f2a621109d56884512555feae5aa177b826d83780",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-08-29T20:24:19Z",
    "title_canon_sha256": "f714fdb8ce54297cebc4fdc47a8be9e3743864e95f5f0969a1395490e6c54044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5743",
    "kind": "arxiv",
    "version": 3
  }
}