Pith Number

pith:N4QRSKA4

pith:1999:N4QRSKA4ME3VFVSB5NMZVLQB64

not attested not anchored not stored refs pending

The non-equilibrium distribution function of particles and anti-particles created in strong fields

A. V. Prozorkevich, Dubna, D. V. Vinnik (Saratov State University, Russia), S. A. Smolyansky, V. A. Mizerny, V.D. Toneev (Joint Institute for Nuclear Research

arxiv:hep-ph/9911303 v3 · 1999-11-10 · 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{N4QRSKA4ME3VFVSB5NMZVLQB64}

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	2026-05-18T00:37:28.165016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f2119281c613752d641eb599aae01f737aa0301370a639ebb889988a51bd3fe

Aliases

arxiv: hep-ph/9911303 · arxiv_version: hep-ph/9911303v3 · doi: 10.48550/arxiv.hep-ph/9911303 · pith_short_12: N4QRSKA4ME3V · pith_short_16: N4QRSKA4ME3VFVSB · pith_short_8: N4QRSKA4

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/N4QRSKA4ME3VFVSB5NMZVLQB64 \
  | 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: 6f2119281c613752d641eb599aae01f737aa0301370a639ebb889988a51bd3fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa3f4fe0f58bb0fdcdfb56a1146359e9a6bc026c0aa132ca2292469585be5f24",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-11-10T17:19:44Z",
    "title_canon_sha256": "b27928d8ff826f916e500c5d04da7cacd1f6776ad6f00e545494cc79783c0cd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9911303",
    "kind": "arxiv",
    "version": 3
  }
}