Pith Number

pith:W2F6IUZQ

pith:2019:W2F6IUZQ3XDJ63OBA3LFVCCFAG

not attested not anchored not stored refs pending

The trident process in laser pulses

Greger Torgrimsson, Victor Dinu

arxiv:1912.11017 v1 · 2019-12-23 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W2F6IUZQ3XDJ63OBA3LFVCCFAG}

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

Nonlinear trident using WKB and worldline instantons

Receipt and verification

First computed	2026-07-05T00:51:37.434679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b68be45330ddc69f6dc106d65a88450187ea2fc298ce8d7d740e4e4155a351dc

Aliases

arxiv: 1912.11017 · arxiv_version: 1912.11017v1 · doi: 10.48550/arxiv.1912.11017 · pith_short_12: W2F6IUZQ3XDJ · pith_short_16: W2F6IUZQ3XDJ63OB · pith_short_8: W2F6IUZQ

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/W2F6IUZQ3XDJ63OBA3LFVCCFAG \
  | 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: b68be45330ddc69f6dc106d65a88450187ea2fc298ce8d7d740e4e4155a351dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfaf3690364d6f85f95fe6f5c0290c621d2ebd3eb6b6f39a62acc92fba8576fc",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2019-12-23T18:23:44Z",
    "title_canon_sha256": "dbe270302ceb71e0b596ffc42b989f2056becace05abbb704b3d44be3b2fb229"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.11017",
    "kind": "arxiv",
    "version": 1
  }
}