Pith Number

pith:K7Y5FLAK

pith:2011:K7Y5FLAKJUNNHJE6FVCQXOFBBA

not attested not anchored not stored refs pending

Uncertainty relations for cosmological particle creation and existence of large fluctuations in reheating

Ali Kaya

arxiv:1112.4580 v1 · 2011-12-20 · gr-qc · 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{K7Y5FLAKJUNNHJE6FVCQXOFBBA}

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	2026-05-18T03:22:06.341226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57f1d2ac0a4d1ad3a49e2d450bb8a1081c8aae7bfa569320ae8e82308cfc04af

Aliases

arxiv: 1112.4580 · arxiv_version: 1112.4580v1 · doi: 10.48550/arxiv.1112.4580 · pith_short_12: K7Y5FLAKJUNN · pith_short_16: K7Y5FLAKJUNNHJE6 · pith_short_8: K7Y5FLAK

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/K7Y5FLAKJUNNHJE6FVCQXOFBBA \
  | 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: 57f1d2ac0a4d1ad3a49e2d450bb8a1081c8aae7bfa569320ae8e82308cfc04af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b89bfa648a50f38976ea4897ea5b4a7016dbd170a1306239fc92299e4d959b1",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-12-20T06:34:18Z",
    "title_canon_sha256": "192f934b87fb96bbfd34614aed05e34baa7a582c36e50efbc1fe577a4290f8cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4580",
    "kind": "arxiv",
    "version": 1
  }
}