Pith Number

pith:NG3IZGE2

pith:2016:NG3IZGE2YZL323FWXQ6O3EPRPL

not attested not anchored not stored refs pending

Modified gravity (MOG) and the cluster Abell 1689 acceleration data

J. W. Moffat, M. H. Zhoolideh Haghighi

arxiv:1611.05382 v2 · 2016-11-16 · astro-ph.GA · 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{NG3IZGE2YZL323FWXQ6O3EPRPL}

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

Galaxy Formation in the Early Universe

Receipt and verification

First computed	2026-05-18T00:33:32.329266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69b68c989ac657bd6cb6bc3ced91f17af298ff48d4c98ded2c7e2afd4651a6ee

Aliases

arxiv: 1611.05382 · arxiv_version: 1611.05382v2 · doi: 10.48550/arxiv.1611.05382 · pith_short_12: NG3IZGE2YZL3 · pith_short_16: NG3IZGE2YZL323FW · pith_short_8: NG3IZGE2

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/NG3IZGE2YZL323FWXQ6O3EPRPL \
  | 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: 69b68c989ac657bd6cb6bc3ced91f17af298ff48d4c98ded2c7e2afd4651a6ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45da5e2ed5bf5f51fb496160d32f2c34c8e20afa91deda54d4ed88532a5375e5",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2016-11-16T17:46:44Z",
    "title_canon_sha256": "74217716c710c4748a016af582fba8c6e713d877166c03e480ce3da40247fc3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05382",
    "kind": "arxiv",
    "version": 2
  }
}