Pith Number

pith:2KA3JTQB

pith:2002:2KA3JTQBA6DI6TPUGSYIJMMLUP

not attested not anchored not stored refs pending

Trans-Planckian Particle Creation in Cosmology and Ultra-High Energy Cosmic Rays

A. A. Starobinsky, I. I. Tkachev

arxiv:astro-ph/0207572 v2 · 2002-07-26 · astro-ph · gr-qc · hep-ph · 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{2KA3JTQBA6DI6TPUGSYIJMMLUP}

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

Cosmological cutting rules for Bogoliubov initial states: any mass and spin

Receipt and verification

First computed	2026-07-04T16:30:26.904432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d281b4ce0107868f4df434b084b18ba3e5d08bba948f3bde693a0fdc03febead

Aliases

arxiv: astro-ph/0207572 · arxiv_version: astro-ph/0207572v2 · doi: 10.48550/arxiv.astro-ph/0207572 · pith_short_12: 2KA3JTQBA6DI · pith_short_16: 2KA3JTQBA6DI6TPU · pith_short_8: 2KA3JTQB

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/2KA3JTQBA6DI6TPUGSYIJMMLUP \
  | 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: d281b4ce0107868f4df434b084b18ba3e5d08bba948f3bde693a0fdc03febead

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "458ff96fb8f7bf6859f201cc8b8875baf5f57bb31c720996de6f5c61c34ccf32",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-07-26T19:59:21Z",
    "title_canon_sha256": "77dd9683b4a104abdf0921dc31fe46bfbc1b1062b812c210044485ef2751dfb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0207572",
    "kind": "arxiv",
    "version": 2
  }
}