Pith Number

pith:7CQMVDAO

pith:2010:7CQMVDAOG4TVFHUKGZ6OGMVRUA

not attested not anchored not stored refs pending

Schwinger pair production in space- and time-dependent electric fields: Relating the Wigner formalism to quantum kinetic theory

Florian Hebenstreit, Holger Gies, Reinhard Alkofer

arxiv:1007.1099 v2 · 2010-07-07 · hep-ph · hep-th

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CQMVDAOG4TVFHUKGZ6OGMVRUA}

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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

Stationary States for Fermions in an External Electric Field

Receipt and verification

First computed	2026-05-18T04:32:46.208925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8a0ca8c0e3727529e8a367ce332b1a0223b1a49b4f0aef23faab881d4c35fce

Aliases

arxiv: 1007.1099 · arxiv_version: 1007.1099v2 · doi: 10.48550/arxiv.1007.1099 · pith_short_12: 7CQMVDAOG4TV · pith_short_16: 7CQMVDAOG4TVFHUK · pith_short_8: 7CQMVDAO

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/7CQMVDAOG4TVFHUKGZ6OGMVRUA \
  | 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: f8a0ca8c0e3727529e8a367ce332b1a0223b1a49b4f0aef23faab881d4c35fce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e6a347cc5dfd1a0e235eaa76e9637d131cbe58bc376811eb7c2a07ba758f300",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2010-07-07T10:34:10Z",
    "title_canon_sha256": "6a590919c67854cdc36cc49046c9cf2b4e9183195647cf6b509f0d114f9827b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1099",
    "kind": "arxiv",
    "version": 2
  }
}