Pith Number

pith:SBN4CVYW

pith:2024:SBN4CVYWS65VGNEHYZVO3SSE3C

not attested not anchored not stored refs pending

Observational tests in scale invariance I: galaxy clusters and rotation of galaxies

Andre Maeder

arxiv:2403.08759 v2 · 2024-03-13 · astro-ph.GA · 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{SBN4CVYWS65VGNEHYZVO3SSE3C}

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	2026-07-05T08:15:12.393632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

905bc1571697bb533487c66aedca44d8be2b7648f2b485ee38e613ead2bd64cc

Aliases

arxiv: 2403.08759 · arxiv_version: 2403.08759v2 · doi: 10.48550/arxiv.2403.08759 · pith_short_12: SBN4CVYWS65V · pith_short_16: SBN4CVYWS65VGNEH · pith_short_8: SBN4CVYW

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/SBN4CVYWS65VGNEHYZVO3SSE3C \
  | 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: 905bc1571697bb533487c66aedca44d8be2b7648f2b485ee38e613ead2bd64cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dda22c36b0ef7e91544b8321d13bfdf31df469f288864fc2a3f78e2900c442d0",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2024-03-13T17:57:26Z",
    "title_canon_sha256": "02b7171a1e3625a32597bf5e5ab5bb5d820f9fe20574124ba4bc674bd0c6c790"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.08759",
    "kind": "arxiv",
    "version": 2
  }
}