Pith Number

pith:HJQGD3PG

pith:2026:HJQGD3PGB22FJRFNRF7LE2HVNK

not attested not anchored not stored refs pending

Redshift Duality with Pantheon+SH0ES in a Planck-anchored Flat $\Lambda$CDM Framework: Implications for Hubble Tension and Observational Inference

Tae-Kyoung Lee

arxiv:2606.02097 v1 · 2026-06-01 · 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{HJQGD3PGB22FJRFNRF7LE2HVNK}

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	2026-06-02T02:05:06.426292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a6061ede60eb454c4ad897eb268f56abec9e653ed5528d9b76133e95dbad14d

Aliases

arxiv: 2606.02097 · arxiv_version: 2606.02097v1 · doi: 10.48550/arxiv.2606.02097 · pith_short_12: HJQGD3PGB22F · pith_short_16: HJQGD3PGB22FJRFN · pith_short_8: HJQGD3PG

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/HJQGD3PGB22FJRFNRF7LE2HVNK \
  | 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: 3a6061ede60eb454c4ad897eb268f56abec9e653ed5528d9b76133e95dbad14d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a8064e956603552145daf39386722fabf7579bdecaf4e8cf6f7458794c4e449",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-01T11:28:21Z",
    "title_canon_sha256": "1eb4c6ce2ce5bfe10e50b33cf885cf974d43a1f1d1d3a3d36418910d7efc7176"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02097",
    "kind": "arxiv",
    "version": 1
  }
}