Pith Number

pith:WLRR7RVV

pith:2021:WLRR7RVVCVJEP7GYFLJDFHODDE

not attested not anchored not stored refs pending

Plane Wave Backgrounds in the Worldline Formalism

Christian Schubert, James P. Edwards

arxiv:2112.13944 v1 · 2021-12-28 · hep-th · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLRR7RVVCVJEP7GYFLJDFHODDE}

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

Worldline Modeling of Ultra-Intense Lasers for N-photon Scattering Processes

Receipt and verification

First computed	2026-07-05T04:24:15.178026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2e31fc6b5155247fcd82ad2329dc3190aa1c9817db8d21c6cdbc944620cd315

Aliases

arxiv: 2112.13944 · arxiv_version: 2112.13944v1 · doi: 10.48550/arxiv.2112.13944 · pith_short_12: WLRR7RVVCVJE · pith_short_16: WLRR7RVVCVJEP7GY · pith_short_8: WLRR7RVV

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WLRR7RVVCVJEP7GYFLJDFHODDE \
  | 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: b2e31fc6b5155247fcd82ad2329dc3190aa1c9817db8d21c6cdbc944620cd315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce90fb21ee782395901bbb638af10699eba854d57789b5e9ac58cdb5505aefa0",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-12-28T00:00:00Z",
    "title_canon_sha256": "c0c389c0c7438985ff7ce8acc2a9235126d2743138157fd5c6684d8679e86019"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.13944",
    "kind": "arxiv",
    "version": 1
  }
}