Pith Number

pith:X6NQWDKD

pith:2026:X6NQWDKDZIIEA23YP6JD2OOL2C

not attested not anchored not stored refs pending

Hubble tension: the shape wall

Davide Pedrotti, Edvig Selimaj, Luis A. Escamilla, Miguel A. Sabogal, Sunny Vagnozzi

arxiv:2607.21244 v1 · 2026-07-23 · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X6NQWDKDZIIEA23YP6JD2OOL2C}

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	2026-07-24T01:24:21.299348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf9b0b0d43ca10406b787f923d39cbd0a1085906577fbc8db47627ee8a33ab0f

Aliases

arxiv: 2607.21244 · arxiv_version: 2607.21244v1 · doi: 10.48550/arxiv.2607.21244 · pith_short_12: X6NQWDKDZIIE · pith_short_16: X6NQWDKDZIIEA23Y · pith_short_8: X6NQWDKD

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/X6NQWDKDZIIEA23YP6JD2OOL2C \
  | 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: bf9b0b0d43ca10406b787f923d39cbd0a1085906577fbc8db47627ee8a33ab0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6035f58775ea6706567e8084a6bde088874bf45d516283aa8a6cca7356dd149e",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-07-23T12:08:39Z",
    "title_canon_sha256": "58c08424fe3f38182f0721a57056142997ea4b8d49543446760f1cd7db103866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21244",
    "kind": "arxiv",
    "version": 1
  }
}