Pith Number

pith:WLPV7D6L

pith:2002:WLPV7D6LEUUSPZ6CRJNVDUYENR

not attested not anchored not stored refs pending

Generalized Boltzmann equations for on-shell particle production in a hot plasma

A. Jakovac

arxiv:hep-ph/0207085 v1 · 2002-07-05 · 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{WLPV7D6LEUUSPZ6CRJNVDUYENR}

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	2026-07-04T16:34:15.113983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2df5f8fcb252927e7c28a5b51d3046c549023d590fc3f123bc09e75279419cc

Aliases

arxiv: hep-ph/0207085 · arxiv_version: hep-ph/0207085v1 · doi: 10.48550/arxiv.hep-ph/0207085 · pith_short_12: WLPV7D6LEUUS · pith_short_16: WLPV7D6LEUUSPZ6C · pith_short_8: WLPV7D6L

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/WLPV7D6LEUUSPZ6CRJNVDUYENR \
  | 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: b2df5f8fcb252927e7c28a5b51d3046c549023d590fc3f123bc09e75279419cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0186f68a91969253d2c2571d9da339d091e8cfd86a50f4c43736e6eda62cc8da",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2002-07-05T10:17:20Z",
    "title_canon_sha256": "bbbb4062697b4313d785a74c7ff58284cabaee03ee4dec31e6795297518d6a9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0207085",
    "kind": "arxiv",
    "version": 1
  }
}