Pith Number

pith:2NMMIGXX

pith:2025:2NMMIGXX4WMJ7EQORX4BHRL3RO

not attested not anchored not stored refs pending

Super light-by-light scattering in vacuum induced by intense vortex lasers

Baifei Shen, Igor P. Ivanov, Liangliang Ji, Lingang Zhang, Ruxin Li, Shiyu Liu, Zhigang Bu

arxiv:2502.14286 v2 · 2025-02-20 · physics.optics · 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{2NMMIGXX4WMJ7EQORX4BHRL3RO}

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	2026-07-05T11:38:04.896479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d358c41af7e5989f920e8df813c57b8bb32ecef4c817b993c4ef7d26c72d4be1

Aliases

arxiv: 2502.14286 · arxiv_version: 2502.14286v2 · doi: 10.48550/arxiv.2502.14286 · pith_short_12: 2NMMIGXX4WMJ · pith_short_16: 2NMMIGXX4WMJ7EQO · pith_short_8: 2NMMIGXX

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/2NMMIGXX4WMJ7EQORX4BHRL3RO \
  | 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: d358c41af7e5989f920e8df813c57b8bb32ecef4c817b993c4ef7d26c72d4be1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89c33be2d0100591cd65b2a966767e36b72068131273bb9523ea0ac49f50d3e1",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2025-02-20T05:57:39Z",
    "title_canon_sha256": "edd9434be8d76b9f6271663dbfe36cf6f5435ccaeb2e5e9358fa63560ff0b1dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.14286",
    "kind": "arxiv",
    "version": 2
  }
}