Pith Number

pith:3MKB4F5D

pith:2010:3MKB4F5D5D7M4CPOVR4WXVFW4C

not attested not anchored not stored refs pending

On the Schwinger limit attainability with extreme power lasers

Alexander G. R. Thomas, James K. Koga, Sergei V. Bulanov, Stepan S. Bulanov, Timur Zh. Esirkepov

arxiv:1007.4306 v3 · 2010-07-25 · physics.plasm-ph · physics.acc-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{3MKB4F5D5D7M4CPOVR4WXVFW4C}

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	2026-05-18T04:34:18.225992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db141e17a3e8fece09eeac796bd4b6e08f410500224e7901d3a370ce2c86db83

Aliases

arxiv: 1007.4306 · arxiv_version: 1007.4306v3 · doi: 10.48550/arxiv.1007.4306 · pith_short_12: 3MKB4F5D5D7M · pith_short_16: 3MKB4F5D5D7M4CPO · pith_short_8: 3MKB4F5D

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/3MKB4F5D5D7M4CPOVR4WXVFW4C \
  | 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: db141e17a3e8fece09eeac796bd4b6e08f410500224e7901d3a370ce2c86db83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a609ebcda338629407f6dcce0b62770e74d4071b05d76b313790856e4817911",
    "cross_cats_sorted": [
      "physics.acc-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2010-07-25T08:38:29Z",
    "title_canon_sha256": "a3689c46145bd177455f053352783780104a01d82c96842f8c2ba45bca4c81f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4306",
    "kind": "arxiv",
    "version": 3
  }
}