Pith Number

pith:Y6Y2EVUN

pith:2023:Y6Y2EVUNLY5ISXMPCO77UTQFM7

not attested not anchored not stored refs pending

A comparative study of MOND and MOG theories versus the$\kappa$-model: An application to galaxy clusters

Gianni Pascoli (UPJV)

arxiv:2307.01555 v2 · 2023-07-04 · 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{Y6Y2EVUNLY5ISXMPCO77UTQFM7}

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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	2026-07-05T08:00:34.315015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7b1a2568d5e3a895d8f13bffa4e0567e28f0bfc15239f094d5fc0ec9058a28f

Aliases

arxiv: 2307.01555 · arxiv_version: 2307.01555v2 · doi: 10.48550/arxiv.2307.01555 · pith_short_12: Y6Y2EVUNLY5I · pith_short_16: Y6Y2EVUNLY5ISXMP · pith_short_8: Y6Y2EVUN

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/Y6Y2EVUNLY5ISXMPCO77UTQFM7 \
  | 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: c7b1a2568d5e3a895d8f13bffa4e0567e28f0bfc15239f094d5fc0ec9058a28f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9adce3ab2f0443bb554aeea9dc67d68e85cc580d1bc8fb3c085f85a599872fd7",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2023-07-04T08:12:21Z",
    "title_canon_sha256": "2feabf65b85bca58e8ec533ca36af57e9ec1827cffac0e0407f64a1b4b743d42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.01555",
    "kind": "arxiv",
    "version": 2
  }
}