Pith Number

pith:UK6RT7XH

pith:2024:UK6RT7XHJQG6IOZVFGCGZVJHZ7

not attested not anchored not stored refs pending

A Novel Test for MOND: Gravitational Lensing by Disc Galaxies

Christopher Harvey-Hawes, Marco Galoppo

arxiv:2411.17888 v2 · 2024-11-26 · astro-ph.GA · astro-ph.CO · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UK6RT7XHJQG6IOZVFGCGZVJHZ7}

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	2026-07-05T11:10:02.746885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2bd19fee74c0de43b3529846cd527cfed1fe0615dba032bd7fddb1939102f9e

Aliases

arxiv: 2411.17888 · arxiv_version: 2411.17888v2 · doi: 10.48550/arxiv.2411.17888 · pith_short_12: UK6RT7XHJQG6 · pith_short_16: UK6RT7XHJQG6IOZV · pith_short_8: UK6RT7XH

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/UK6RT7XHJQG6IOZVFGCGZVJHZ7 \
  | 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: a2bd19fee74c0de43b3529846cd527cfed1fe0615dba032bd7fddb1939102f9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef169a13a5e9776b9119128e44ed2147eebe21e118d64607f8c3143c875c40e3",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2024-11-26T21:19:02Z",
    "title_canon_sha256": "50781645a416b8d6764795b103b7d3772fcdb730b45e3eb8c7df52bf9455caa4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17888",
    "kind": "arxiv",
    "version": 2
  }
}