Pith Number

pith:CM2APS7S

pith:1999:CM2APS7SCIKNQBADRTGTZIMPHE

not attested not anchored not stored refs pending

The semiclassical propagator in field theory

Kimmo Kainulainen, Michael Joyce, Tomislav Prokopec

arxiv:hep-ph/9906411 v2 · 1999-06-17 · 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{CM2APS7SCIKNQBADRTGTZIMPHE}

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.

Cited by

1 paper in Pith

Systematic derivation of the Boltzmann equation for electroweak baryogenesis

Receipt and verification

First computed	2026-07-04T16:14:20.942215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

133407cbf21214d804038ccd3ca18f391f72ad6d57d7e9937e12823869326548

Aliases

arxiv: hep-ph/9906411 · arxiv_version: hep-ph/9906411v2 · doi: 10.48550/arxiv.hep-ph/9906411 · pith_short_12: CM2APS7SCIKN · pith_short_16: CM2APS7SCIKNQBAD · pith_short_8: CM2APS7S

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/CM2APS7SCIKNQBADRTGTZIMPHE \
  | 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: 133407cbf21214d804038ccd3ca18f391f72ad6d57d7e9937e12823869326548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95f8ec12cfac5a8ac38ff962c44da09b0eb1d1f85d5c7591081a06a4edc4ad34",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-06-17T12:53:06Z",
    "title_canon_sha256": "72c751822d86aec3dd9fb88c90f8e2de98bd0df9a5ee5c2c7128dc5d9bd295b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9906411",
    "kind": "arxiv",
    "version": 2
  }
}