Pith Number

pith:ZA343RXK

pith:2025:ZA343RXKGIPVYMY45O4BONXPRF

not attested not anchored not stored refs pending

Growth of Cosmic Structures in generalized mass-to-horizon relation Entropic Cosmology

Shafqat Ali, Tomasz Denkiewicz

arxiv:2507.08647 v1 · 2025-07-11 · astro-ph.CO · gr-qc · hep-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{ZA343RXKGIPVYMY45O4BONXPRF}

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

2 papers in Pith

Gravity theory of the generalized mass to horizon entropy The Iyer Wald approach

Model-independent reconstruction of cosmic thermodynamics and dark energy dynamics

Receipt and verification

First computed	2026-07-05T11:35:44.231484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c837cdc6ea321f5c331cebb81736ef896e8caa4135db63977237748029c0096b

Aliases

arxiv: 2507.08647 · arxiv_version: 2507.08647v1 · doi: 10.48550/arxiv.2507.08647 · pith_short_12: ZA343RXKGIPV · pith_short_16: ZA343RXKGIPVYMY4 · pith_short_8: ZA343RXK

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/ZA343RXKGIPVYMY45O4BONXPRF \
  | 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: c837cdc6ea321f5c331cebb81736ef896e8caa4135db63977237748029c0096b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c687043b5f27f3f08857d92a7bc1deb97d12023e8289c33b44cffb0ca7ed1561",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-07-11T14:51:01Z",
    "title_canon_sha256": "7c637b35f272059de3db0500cb3954ce2916d01c0ae39b76d40db2392cc9cc83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.08647",
    "kind": "arxiv",
    "version": 1
  }
}