Pith Number

pith:WPM4GPJP

pith:2024:WPM4GPJPO3UN673KY3R4QBTZZC

not attested not anchored not stored refs pending

Anisotropic Generalization of the {\Lambda}CDM Universe Model with Application to the Hubble Tension

{\O}yvind G. Gr{\o}n

arxiv:2406.09479 v1 · 2024-06-13 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WPM4GPJPO3UN673KY3R4QBTZZC}

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	2026-07-05T08:31:54.655224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3d9c33d2f76e8df7f6ac6e3c80679c8b1b4fd8c201a5de9570eae7db57c0d5b

Aliases

arxiv: 2406.09479 · arxiv_version: 2406.09479v1 · doi: 10.48550/arxiv.2406.09479 · pith_short_12: WPM4GPJPO3UN · pith_short_16: WPM4GPJPO3UN673K · pith_short_8: WPM4GPJP

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/WPM4GPJPO3UN673KY3R4QBTZZC \
  | 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: b3d9c33d2f76e8df7f6ac6e3c80679c8b1b4fd8c201a5de9570eae7db57c0d5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1636d24028aed2a5cc2c795203cde49aaa526d43931ece83511013dd101fe347",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-06-13T11:16:03Z",
    "title_canon_sha256": "6ff80a1883a1177f7d5a0a8c4044be675b76ff32c871757595a035e8c0f3a681"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.09479",
    "kind": "arxiv",
    "version": 1
  }
}