Pith Number

pith:PVCNIJNG

pith:2018:PVCNIJNGGCIATWQ7KFICONK34G

not attested not anchored not stored refs pending

Modified Gravity (MOG) and its test on galaxy clusters

Andrea Morandi, Marceau Limousin, Theodorus M. Nieuwenhuizen

arxiv:1802.04891 v1 · 2018-02-13 · 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{PVCNIJNGGCIATWQ7KFICONK34G}

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	2026-05-18T00:22:22.441332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d44d425a6309009da1f515027355be1b3d4f6eff5655139baccdab3cdcf704b

Aliases

arxiv: 1802.04891 · arxiv_version: 1802.04891v1 · doi: 10.48550/arxiv.1802.04891 · pith_short_12: PVCNIJNGGCIA · pith_short_16: PVCNIJNGGCIATWQ7 · pith_short_8: PVCNIJNG

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/PVCNIJNGGCIATWQ7KFICONK34G \
  | 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: 7d44d425a6309009da1f515027355be1b3d4f6eff5655139baccdab3cdcf704b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aebd39b90ae58021740435c9e8b924ce5f2cc88bbe408fdd275016fcae2312f2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-02-13T23:06:55Z",
    "title_canon_sha256": "f89c8d25b963d0a018bdc76154e82ea9f8ffcfb8ae53665fdbcaa31053091630"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04891",
    "kind": "arxiv",
    "version": 1
  }
}