Pith Number

pith:4R5BV4SO

pith:2025:4R5BV4SONT6IM6LN2QGZVWOMBS

not attested not anchored not stored refs pending

Observational constraints on phenomenological emergent dark energy and barotropic dark matter characterized by a constant equation of state parameter

Jian-Qi Liu, Jia-Wei Wu, Yan-Hong Yao, Yan su

arxiv:2507.16147 v1 · 2025-07-22 · 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{4R5BV4SONT6IM6LN2QGZVWOMBS}

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

1 paper in Pith

Is Dark Matter Really Matter?

Receipt and verification

First computed	2026-07-05T11:41:03.944632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e47a1af24e6cfc86796dd40d9ad9cc0cbfb001f4e5a9cd30518841ddd6bbbe52

Aliases

arxiv: 2507.16147 · arxiv_version: 2507.16147v1 · doi: 10.48550/arxiv.2507.16147 · pith_short_12: 4R5BV4SONT6I · pith_short_16: 4R5BV4SONT6IM6LN · pith_short_8: 4R5BV4SO

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/4R5BV4SONT6IM6LN2QGZVWOMBS \
  | 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: e47a1af24e6cfc86796dd40d9ad9cc0cbfb001f4e5a9cd30518841ddd6bbbe52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40fb7ebfbbd6bf30bd9dc0fcddafc96b1c871a79fc407b0d6c8fd7b2a67293a0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-07-22T01:49:36Z",
    "title_canon_sha256": "faeb8035cc04cacbd5e9071b8eafc2d12e90d12c057a4bcc7728470d6d8b30c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16147",
    "kind": "arxiv",
    "version": 1
  }
}