Pith Number

pith:W25LEOWN

pith:2024:W25LEOWNUMS664L7YWUAEAZK45

not attested not anchored not stored refs pending

A Survey of Dynamical and Gravitational Lensing Tests in Scale Invariance: The Fall of Dark Matter?

Andre Maeder, Frederic Courbin

arxiv:2410.21379 v1 · 2024-10-28 · 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{W25LEOWNUMS664L7YWUAEAZK45}

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	2026-07-05T09:27:27.515871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6bab23acda325ef717fc5a802032ae75d16dc63535fdfce641924013276ef5a

Aliases

arxiv: 2410.21379 · arxiv_version: 2410.21379v1 · doi: 10.48550/arxiv.2410.21379 · pith_short_12: W25LEOWNUMS6 · pith_short_16: W25LEOWNUMS664L7 · pith_short_8: W25LEOWN

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/W25LEOWNUMS664L7YWUAEAZK45 \
  | 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: b6bab23acda325ef717fc5a802032ae75d16dc63535fdfce641924013276ef5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eadc99d65567dd5766422f127eea6e30265429084a564da942b706fde1511d70",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-10-28T18:00:01Z",
    "title_canon_sha256": "d4455947f916037c1f28c0980364611158d08a6a46c7c9c0e44647835c64610f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.21379",
    "kind": "arxiv",
    "version": 1
  }
}