Pith Number

pith:Y4PV5K5C

pith:2022:Y4PV5K5CPNIHQSLFGIERLOFGU4

not attested not anchored not stored refs pending

Newtonian Fractional-Dimension Gravity and Galaxies without Dark Matter

Gabriele U. Varieschi

arxiv:2212.09932 v2 · 2022-12-20 · gr-qc · 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{Y4PV5K5CPNIHQSLFGIERLOFGU4}

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.

Cited by

1 paper in Pith

Fractional-Dimension Gravity and the Milky Way Galaxy

Receipt and verification

First computed	2026-07-05T06:14:57.026688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c71f5eaba27b50784965320915b8a6a7317284b1f8c75009ef61316f90fcfda8

Aliases

arxiv: 2212.09932 · arxiv_version: 2212.09932v2 · doi: 10.48550/arxiv.2212.09932 · pith_short_12: Y4PV5K5CPNIH · pith_short_16: Y4PV5K5CPNIHQSLF · pith_short_8: Y4PV5K5C

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/Y4PV5K5CPNIHQSLFGIERLOFGU4 \
  | 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: c71f5eaba27b50784965320915b8a6a7317284b1f8c75009ef61316f90fcfda8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ed130fdf9a7c208e55f71f0d9b33f6a9d4845313e575ace4037bd2c81964c41",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-12-20T00:51:46Z",
    "title_canon_sha256": "8cb734a9ed4e51ead5bdbe700e8bcfdc2323ecac7f62dc730d10df6acd0459fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.09932",
    "kind": "arxiv",
    "version": 2
  }
}