Pith Number

pith:AFNFA2Y4

pith:2026:AFNFA2Y4SPRDBU7IB53DKU7W5X

not attested not anchored not stored refs pending

Early- and late-time constraints on Wald-Gauss-Bonnet topological dark energy and implications for the $H_0$ and $S_8$ tensions

Andronikos Paliathanasis, Emmanuel N. Saridakis, Fotios K. Anagnostopoulos, Spyros Basilakos, Stylianos A. Tsilioukas

arxiv:2607.26101 v1 · 2026-07-28 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFNFA2Y4SPRDBU7IB53DKU7W5X}

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	2026-07-30T00:08:21.167847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

015a506b1c93e230d3e80f763553f6edc6f375695a3a76b1c5f3c6dd94576ca2

Aliases

arxiv: 2607.26101 · arxiv_version: 2607.26101v1 · doi: 10.48550/arxiv.2607.26101 · pith_short_12: AFNFA2Y4SPRD · pith_short_16: AFNFA2Y4SPRDBU7I · pith_short_8: AFNFA2Y4

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/AFNFA2Y4SPRDBU7IB53DKU7W5X \
  | 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: 015a506b1c93e230d3e80f763553f6edc6f375695a3a76b1c5f3c6dd94576ca2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0812557172ca6718354b7b13711dbc5f06ddabae332fe188f85826f8654fd8e",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-28T06:59:44Z",
    "title_canon_sha256": "664579e3994202f8e2e92efa09a989a5b14cdd14a0c4ed51f708fafffcf30cf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26101",
    "kind": "arxiv",
    "version": 1
  }
}