Pith Number

pith:PZEQCFOG

pith:2026:PZEQCFOG4WCIKSZK5DZZGP6KYD

not attested not anchored not stored refs pending

Tachyonic particle production: quantum 2PI formalism with momentum exchanging collisions

Kimmo Kainulainen, Olli V\"ais\"anen, Sami Nurmi

arxiv:2606.02039 v1 · 2026-06-01 · hep-ph · astro-ph.CO · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZEQCFOG4WCIKSZK5DZZGP6KYD}

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	2026-06-02T02:05:04.226300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e490115c6e584854b2ae8f3933fcac0c38e9cd0029c4f6969795afa2fff7815

Aliases

arxiv: 2606.02039 · arxiv_version: 2606.02039v1 · doi: 10.48550/arxiv.2606.02039 · pith_short_12: PZEQCFOG4WCI · pith_short_16: PZEQCFOG4WCIKSZK · pith_short_8: PZEQCFOG

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/PZEQCFOG4WCIKSZK5DZZGP6KYD \
  | 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: 7e490115c6e584854b2ae8f3933fcac0c38e9cd0029c4f6969795afa2fff7815

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e05751f8890889dd0586d90284eb8a4f1e52d1899d5273a41e91ccbb7ded475",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-06-01T10:29:45Z",
    "title_canon_sha256": "db821adc22d8cf3e782c26785329a31aef3497c37085b8f77f239f6955d137f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02039",
    "kind": "arxiv",
    "version": 1
  }
}