Pith. sign in
Pith Number

pith:XGEEEJCE

pith:2020:XGEEEJCEPIYNWQTFQ3RLI6MA62
not attested not anchored not stored refs pending

The locally monochromatic approximation to QED in intense laser fields

A. J. MacLeod, B. King, T. Heinzl

arxiv:2004.13035 v2 · 2020-04-27 · hep-ph · physics.optics · physics.plasm-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XGEEEJCEPIYNWQTFQ3RLI6MA62}

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 2026-07-05T01:59:55.441126Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b9884224447a30db426586e2b47980f68c109e98c34f9bb090540056e1b5c375

Aliases

arxiv: 2004.13035 · arxiv_version: 2004.13035v2 · doi: 10.48550/arxiv.2004.13035 · pith_short_12: XGEEEJCEPIYN · pith_short_16: XGEEEJCEPIYNWQTF · pith_short_8: XGEEEJCE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XGEEEJCEPIYNWQTFQ3RLI6MA62 \
  | 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: b9884224447a30db426586e2b47980f68c109e98c34f9bb090540056e1b5c375
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "987fa66776b44ce23b6886cf2e5e97e655b5e334537dedb2bd7e639d41ad11a3",
    "cross_cats_sorted": [
      "physics.optics",
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2020-04-27T18:00:02Z",
    "title_canon_sha256": "28e44322d0628d77fa2c243d0f07d31ec1ab601609bfa607610f7f4fae256dd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.13035",
    "kind": "arxiv",
    "version": 2
  }
}