Pith Number

pith:JDRKQZ3Z

pith:2010:JDRKQZ3ZTL6TPGQL5RIVRKEW2Y

not attested not anchored not stored refs pending

Role of vacuum polarization for the annihilation channel in a strong laser field

A.V. Chertilin, A.V. Tarakanov, D.B. Blaschke, G. Roepke, S.A. Smolyansky

arxiv:1012.0559 v1 · 2010-12-02 · physics.plasm-ph · 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{JDRKQZ3ZTL6TPGQL5RIVRKEW2Y}

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	2026-05-18T04:34:17.684723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48e2a867799afd379a0bec5158a896d61c828aee446f7b972992d3be469e7a47

Aliases

arxiv: 1012.0559 · arxiv_version: 1012.0559v1 · doi: 10.48550/arxiv.1012.0559 · pith_short_12: JDRKQZ3ZTL6T · pith_short_16: JDRKQZ3ZTL6TPGQL · pith_short_8: JDRKQZ3Z

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/JDRKQZ3ZTL6TPGQL5RIVRKEW2Y \
  | 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: 48e2a867799afd379a0bec5158a896d61c828aee446f7b972992d3be469e7a47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fa07d8341004ea1e51ac80c2abd39261e919244157f86beb9e19b3300888722",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2010-12-02T20:33:28Z",
    "title_canon_sha256": "8155d3c8e420bcca28c5e53eb4799a4861dedfc806f24104ea6dea53e03a5d62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0559",
    "kind": "arxiv",
    "version": 1
  }
}