Pith Number

pith:PSRDMCFG

pith:2025:PSRDMCFGABRDXB45EMCPYVJYSU

not attested not anchored not stored refs pending

Cosmology with a Non-minimally Coupled Dark Matter Fluid I. Background Evolution

Andrea Lapi, Francesco Benetti, Samuele Silveravalle, Stefano Liberati

arxiv:2507.16614 v2 · 2025-07-22 · 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{PSRDMCFGABRDXB45EMCPYVJYSU}

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	2026-07-03T01:17:12.307961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ca23608a600623b879d2304fc55389504a9ca131a61dd071be3ec35b4709bed

Aliases

arxiv: 2507.16614 · arxiv_version: 2507.16614v2 · doi: 10.48550/arxiv.2507.16614 · pith_short_12: PSRDMCFGABRD · pith_short_16: PSRDMCFGABRDXB45 · pith_short_8: PSRDMCFG

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/PSRDMCFGABRDXB45EMCPYVJYSU \
  | 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: 7ca23608a600623b879d2304fc55389504a9ca131a61dd071be3ec35b4709bed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "565b431e76d887a4a33cae4cdb8c8e07722fa8012ec5ea6879e49c8dc355d4ea",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-22T14:12:47Z",
    "title_canon_sha256": "b895454fa9b7a40b7f95594e650e96cc0615364eda5e29570d6affa22f7deba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16614",
    "kind": "arxiv",
    "version": 2
  }
}