Pith Number

pith:2PMB6C7J

pith:2026:2PMB6C7JNNYUMKY4OAAXTVIJJE

not attested not anchored not stored refs pending

Constraints on Dark Energy and Modified Gravity Models from Fast Radio Bursts and Late-Time Geometric Probes

Am\'ilcar R. Queiroz, Bruno W. N. Ribeiro, Kl\'ecio. E. L. de Farias, L\'azaro L. Sales, Rafael A. Batista, Raiff H. Santos

arxiv:2606.29583 v1 · 2026-06-28 · 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{2PMB6C7JNNYUMKY4OAAXTVIJJE}

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	2026-06-30T01:18:13.075862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3d81f0be96b71462b1c700179d509493cc618a91f091c6488dc7cc2258e7d0a

Aliases

arxiv: 2606.29583 · arxiv_version: 2606.29583v1 · doi: 10.48550/arxiv.2606.29583 · pith_short_12: 2PMB6C7JNNYU · pith_short_16: 2PMB6C7JNNYUMKY4 · pith_short_8: 2PMB6C7J

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/2PMB6C7JNNYUMKY4OAAXTVIJJE \
  | 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: d3d81f0be96b71462b1c700179d509493cc618a91f091c6488dc7cc2258e7d0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e88702d4fc3d4d1d8b90f733d2dc83f9e746025962087d346f65adf72a8ecd49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-28T19:57:25Z",
    "title_canon_sha256": "4ff59e9bed0c3822b17f18e900fba84066c343d6cc0254676f43e1d6f2cd72e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29583",
    "kind": "arxiv",
    "version": 1
  }
}