Pith Number

pith:2BIGKKVC

pith:2026:2BIGKKVC7NRL5FPE4I7TXIJOVW

not attested not anchored not stored refs pending

Cosmography with DESI-DR1 Cosmic Chronometers: Direct H(z) measurements from Luminous Red Galaxy ages

Alessandro Bressan, Andrea Lapi, Balakrishna S. Haridasu, Carlos A. \'Alvarez, Luigi Danese, Lumen Boco, Marcos M. Cueli, Martina Torsello, Michele Moresco

arxiv:2608.13178 v1 · 2026-08-13 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2BIGKKVC7NRL5FPE4I7TXIJOVW}

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	2026-08-14T01:00:36.036930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d050652aa2fb62be95e4e23f3ba12eadbe7d5312ec5537b2f173f71ef382bcf2

Aliases

arxiv: 2608.13178 · arxiv_version: 2608.13178v1 · doi: 10.48550/arxiv.2608.13178 · pith_short_12: 2BIGKKVC7NRL · pith_short_16: 2BIGKKVC7NRL5FPE · pith_short_8: 2BIGKKVC

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/2BIGKKVC7NRL5FPE4I7TXIJOVW \
  | 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: d050652aa2fb62be95e4e23f3ba12eadbe7d5312ec5537b2f173f71ef382bcf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70c22ff0a1c645b16a3170e1d4355b3d98572b6f0d746dab98a584bf60c9eee7",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-08-13T12:44:32Z",
    "title_canon_sha256": "83cc5f5591885140fc957eb4b066f88213eb071c923a969dcd87318593c6df67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13178",
    "kind": "arxiv",
    "version": 1
  }
}