Pith Number

pith:2WYBMSDX

pith:2026:2WYBMSDXHL2JAMMRKHE6WMASNH

not attested not anchored not stored refs pending

Modified Cosmology from Mass-to-Horizon Relation: Background Evolution

Hussain Gohar (1), Poland), Pranav Prasanthan (1), Szczecin, University of Szczecin, Vincenzo Salzano (1) ((1) Institute of Physics

arxiv:2607.00133 v1 · 2026-06-30 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2WYBMSDXHL2JAMMRKHE6WMASNH}

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	2026-07-02T00:18:35.949256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5b01648773af490319151c9eb301269ed688c03cb965c895862c4ac95bc4f76

Aliases

arxiv: 2607.00133 · arxiv_version: 2607.00133v1 · doi: 10.48550/arxiv.2607.00133 · pith_short_12: 2WYBMSDXHL2J · pith_short_16: 2WYBMSDXHL2JAMMR · pith_short_8: 2WYBMSDX

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/2WYBMSDXHL2JAMMRKHE6WMASNH \
  | 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: d5b01648773af490319151c9eb301269ed688c03cb965c895862c4ac95bc4f76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "687b73aeb72d8750a466a8da7cf468f1e20f76d8d9728823fc98582ad8455ed8",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-30T20:12:11Z",
    "title_canon_sha256": "dc611c39d647ea37044b760b5d9409f17dadeb29094d61f8c3a113ce9d537d13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00133",
    "kind": "arxiv",
    "version": 1
  }
}