Pith Number

pith:TIR5K2ZC

pith:2025:TIR5K2ZCFFTA2B2HXFK4DUMNVI

not attested not anchored not stored refs pending

The Creation of Particles in an Expanding Universe

Leonard E. Parker

arxiv:2507.05372 v1 · 2025-07-07 · gr-qc · astro-ph.CO · hep-th · physics.hist-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{TIR5K2ZCFFTA2B2HXFK4DUMNVI}

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

3 papers in Pith

Scattered wave functions and worldline instantons for particle production in curved spacetime

Gravitational particle production, the cosmological tensions and fast radio bursts

What spectators do during inflation

Receipt and verification

First computed	2026-07-05T11:33:29.350190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a23d56b2229660d0747b955c1d18daa1d1ff55a90d98d7c34ea2b16bdc0fa3e

Aliases

arxiv: 2507.05372 · arxiv_version: 2507.05372v1 · doi: 10.48550/arxiv.2507.05372 · pith_short_12: TIR5K2ZCFFTA · pith_short_16: TIR5K2ZCFFTA2B2H · pith_short_8: TIR5K2ZC

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/TIR5K2ZCFFTA2B2HXFK4DUMNVI \
  | 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: 9a23d56b2229660d0747b955c1d18daa1d1ff55a90d98d7c34ea2b16bdc0fa3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4e03b451cf919e27761650ec90145494e636aa0c8e3399e71dea9e3030a91ad",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th",
      "physics.hist-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-07T18:02:06Z",
    "title_canon_sha256": "7faeeb8fcc1c81eb1188283dbf1caf2b0553703f7d43188fded0b1706e79d88d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05372",
    "kind": "arxiv",
    "version": 1
  }
}