Pith Number

pith:LYDSFBMW

pith:2025:LYDSFBMW7U4P2J5XU2LCRYI6B3

not attested not anchored not stored refs pending

Fluctuations in Hill's equation parameters and application to cosmic reheating

Anthony M. Bloch, Fred C. Adams, Leia Barrowes, Scott Watson

arxiv:2507.08075 v1 · 2025-07-10 · astro-ph.CO · hep-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LYDSFBMW7U4P2J5XU2LCRYI6B3}

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	2026-07-05T11:35:16.810813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e07228596fd38fd27b7a69628e11e0ef04d59199ae7136c4077bc2cefc58cec

Aliases

arxiv: 2507.08075 · arxiv_version: 2507.08075v1 · doi: 10.48550/arxiv.2507.08075 · pith_short_12: LYDSFBMW7U4P · pith_short_16: LYDSFBMW7U4P2J5X · pith_short_8: LYDSFBMW

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/LYDSFBMW7U4P2J5XU2LCRYI6B3 \
  | 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: 5e07228596fd38fd27b7a69628e11e0ef04d59199ae7136c4077bc2cefc58cec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bae73fb0557c1eb2a1da63d2762f251293d34f0d69acf1ced7efdf860c4bf493",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-07-10T18:00:01Z",
    "title_canon_sha256": "823e5ba41b42f5b525d36da4fb654479116d4c63babbab171e48fe6a121b72d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08075",
    "kind": "arxiv",
    "version": 1
  }
}