Pith Number

pith:R542KCNR

pith:2011:R542KCNRJHWYLH5UIB2XO3LOXO

not attested not anchored not stored refs pending

Photon-photon interaction and Schwinger process

K. Bulycheva, S. Guts

arxiv:1107.1428 v3 · 2011-07-07 · 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{R542KCNRJHWYLH5UIB2XO3LOXO}

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	2026-05-18T03:13:46.580031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f79a509b149ed859fb44075776d6ebbbefe1154d6f5ceda6c9f8a70cea1bf18

Aliases

arxiv: 1107.1428 · arxiv_version: 1107.1428v3 · doi: 10.48550/arxiv.1107.1428 · pith_short_12: R542KCNRJHWY · pith_short_16: R542KCNRJHWYLH5U · pith_short_8: R542KCNR

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/R542KCNRJHWYLH5UIB2XO3LOXO \
  | 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: 8f79a509b149ed859fb44075776d6ebbbefe1154d6f5ceda6c9f8a70cea1bf18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2a89972020406737f8c9cc60510e45c0fae439e34a6f96c2febb0c2c0eb7787",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-07-07T15:34:16Z",
    "title_canon_sha256": "1a8309cbb35dca02cf0399bb3d306534fe7134c6962f6c65e2b077113420b467"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1428",
    "kind": "arxiv",
    "version": 3
  }
}