Pith Number

pith:4V7HW65R

pith:2021:4V7HW65R7OFBOS5HKRD4Q3DY4T

not attested not anchored not stored refs pending

Sauter-Schwinger effect for colliding laser pulses

Christian Kohlf\"urst, Johannes Oertel, Naser Ahmadiniaz, Ralf Sch\"utzhold

arxiv:2107.08741 v3 · 2021-07-19 · 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{4V7HW65R7OFBOS5HKRD4Q3DY4T}

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

Scattered wave functions and worldline instantons for particle production in curved spacetime

Receipt and verification

First computed	2026-07-05T05:24:59.739348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e57e7b7bb1fb8a174ba75447c86c78e4ce89f8a5d9027a05746134f0a494ce24

Aliases

arxiv: 2107.08741 · arxiv_version: 2107.08741v3 · doi: 10.48550/arxiv.2107.08741 · pith_short_12: 4V7HW65R7OFB · pith_short_16: 4V7HW65R7OFBOS5H · pith_short_8: 4V7HW65R

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/4V7HW65R7OFBOS5HKRD4Q3DY4T \
  | 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: e57e7b7bb1fb8a174ba75447c86c78e4ce89f8a5d9027a05746134f0a494ce24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59288ef5fc4a2429f7b3e06ac5aaf2d54c217d4db9ad5bdbc01ea14b15437660",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-07-19T10:22:46Z",
    "title_canon_sha256": "7afb4985332984d51493b50c35a7b8042da4095e7f776c37def5b8df09571044"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.08741",
    "kind": "arxiv",
    "version": 3
  }
}