Pith Number

pith:4BR5FXZ7

pith:2018:4BR5FXZ7TQXX32WW4L4VG353ZM

not attested not anchored not stored refs pending

Nonlinear trident pair production in an arbitrary plane wave: a focus on the properties of the transition amplitude

A. Di Piazza, F. Mackenroth

arxiv:1805.01731 v1 · 2018-05-04 · hep-ph · quant-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{4BR5FXZ7TQXX32WW4L4VG353ZM}

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	2026-05-17T23:58:04.890480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e063d2df3f9c2f7dead6e2f9536fbbcb3ab683e6e24327b6f1f69e39b7f57aa4

Aliases

arxiv: 1805.01731 · arxiv_version: 1805.01731v1 · doi: 10.48550/arxiv.1805.01731 · pith_short_12: 4BR5FXZ7TQXX · pith_short_16: 4BR5FXZ7TQXX32WW · pith_short_8: 4BR5FXZ7

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/4BR5FXZ7TQXX32WW4L4VG353ZM \
  | 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: e063d2df3f9c2f7dead6e2f9536fbbcb3ab683e6e24327b6f1f69e39b7f57aa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3f9d7cfc9ffd413a8270fbc7a0a7eda0be2093c1950206684eb79237f0f16d8",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2018-05-04T12:01:28Z",
    "title_canon_sha256": "afb89f7f50faf867cdf34787cc981ecb0636dbaa59edddf6f7006ffb878464d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01731",
    "kind": "arxiv",
    "version": 1
  }
}