Pith Number

pith:SJQRFLBA

pith:2025:SJQRFLBAWBXXLNLKZCCPLKH643

not attested not anchored not stored refs pending

Particle Production by Time-Varying Dark Energy and the End of Cosmic Expansion

Nicolas Patino, Paul J. Steinhardt

arxiv:2512.15860 v2 · 2025-12-17 · 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{SJQRFLBAWBXXLNLKZCCPLKH643}

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	2026-05-21T00:04:19.857640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

926112ac20b06f75b56ac884f5a8fee6f689bfa16c0049bb9420a5ba86426863

Aliases

arxiv: 2512.15860 · arxiv_version: 2512.15860v2 · doi: 10.48550/arxiv.2512.15860 · pith_short_12: SJQRFLBAWBXX · pith_short_16: SJQRFLBAWBXXLNLK · pith_short_8: SJQRFLBA

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/SJQRFLBAWBXXLNLKZCCPLKH643 \
  | 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: 926112ac20b06f75b56ac884f5a8fee6f689bfa16c0049bb9420a5ba86426863

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63745667157a1bc4c9713e612f30d270983510676b52f0988ce4b3c91664e89c",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-12-17T19:00:02Z",
    "title_canon_sha256": "38ac5682e3987e113fa6fab5097fbf8b2831fc2d1cfcdb851a102f382bfd941f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.15860",
    "kind": "arxiv",
    "version": 2
  }
}