Pith. sign in
Pith Number

pith:O2P4EVFV

pith:2021:O2P4EVFV3UZ5HGZPXNCBWWRBZC
not attested not anchored not stored refs pending

Reduction of order, resummation and radiation reaction

Anton Ilderton, Robin Ekman, Tom Heinzl

arxiv:2105.01640 v2 · 2021-05-04 · hep-ph · physics.plasm-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{O2P4EVFV3UZ5HGZPXNCBWWRBZC}

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 2026-07-05T03:04:52.040827Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

769fc254b5dd33d39b2fbb441b5a21c8a1d6a812b7812f07a08fc4458bbff844

Aliases

arxiv: 2105.01640 · arxiv_version: 2105.01640v2 · doi: 10.48550/arxiv.2105.01640 · pith_short_12: O2P4EVFV3UZ5 · pith_short_16: O2P4EVFV3UZ5HGZP · pith_short_8: O2P4EVFV
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/O2P4EVFV3UZ5HGZPXNCBWWRBZC \
  | 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: 769fc254b5dd33d39b2fbb441b5a21c8a1d6a812b7812f07a08fc4458bbff844
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "206b306764f6f392e4d68bac6051b6bef86d77b58e431d1ab9a7257e42c2ef41",
    "cross_cats_sorted": [
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-05-04T17:33:31Z",
    "title_canon_sha256": "cdf7958d3eb52a0ba6d833b888cef582605a329946879b3dd01fb93c37e4de42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.01640",
    "kind": "arxiv",
    "version": 2
  }
}