Pith Number

pith:LKI3GTWC

pith:2016:LKI3GTWC6UA2LZK6E7JDGQXHCV

not attested not anchored not stored refs pending

The Train Wreck Cluster Abell 520 and the Bullet Cluster 1E0657-558 in a Generalized Theory of Gravitation

J.W Moffat, N.S Israel

arxiv:1606.09128 v3 · 2016-04-23 · astro-ph.CO · 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{LKI3GTWC6UA2LZK6E7JDGQXHCV}

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

Neutron star with dark matter using vector portal

Receipt and verification

First computed	2026-05-18T00:19:49.303591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a91b34ec2f501a5e55e27d23342e7156c171e868187a83a7c194ff45d5b2c7e

Aliases

arxiv: 1606.09128 · arxiv_version: 1606.09128v3 · doi: 10.48550/arxiv.1606.09128 · pith_short_12: LKI3GTWC6UA2 · pith_short_16: LKI3GTWC6UA2LZK6 · pith_short_8: LKI3GTWC

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/LKI3GTWC6UA2LZK6E7JDGQXHCV \
  | 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: 5a91b34ec2f501a5e55e27d23342e7156c171e868187a83a7c194ff45d5b2c7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1861b77951cc137cd9b79debb4c85262779267ed24455a507af8c3dd12aa179e",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-04-23T21:39:06Z",
    "title_canon_sha256": "3223ee3efe205a2fb1de01cf5e23014e724ce11130a85faa3396ac5bcf903e8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.09128",
    "kind": "arxiv",
    "version": 3
  }
}