Pith Number

pith:5RO42TTF

pith:2023:5RO42TTFCSNRH5NHRUSP76RBFD

not attested not anchored not stored refs pending

Dark Matter in Fractional Gravity II: Tests in Galaxy Clusters

Andrea Lapi, Balakrishna S. Haridasu, Francesco Benetti, Giovanni Gandolfi, Luigi Danese

arxiv:2307.04655 v1 · 2023-07-10 · 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{5RO42TTFCSNRH5NHRUSP76RBFD}

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	2026-07-05T06:29:15.940436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec5dcd4e65149b13f5a78d24fffa2128fef971fe91d0b7e7d9c2129d378a2d17

Aliases

arxiv: 2307.04655 · arxiv_version: 2307.04655v1 · doi: 10.48550/arxiv.2307.04655 · pith_short_12: 5RO42TTFCSNR · pith_short_16: 5RO42TTFCSNRH5NH · pith_short_8: 5RO42TTF

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/5RO42TTFCSNRH5NHRUSP76RBFD \
  | 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: ec5dcd4e65149b13f5a78d24fffa2128fef971fe91d0b7e7d9c2129d378a2d17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f81d85a8d5a7d7ab0e11567776cd5ecd8a65fa7000a5c405eba0333966807397",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2023-07-10T15:54:59Z",
    "title_canon_sha256": "ff70a67187b6e95c4798d5b5f3cea1a38e0dfe753dd483805809755bc639b15d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.04655",
    "kind": "arxiv",
    "version": 1
  }
}