Pith Number

pith:ZBUCNNZ6

pith:2016:ZBUCNNZ6HDHDWOHRXFVMJYZEI5

not attested not anchored not stored refs pending

Galaxy Clusters in the Context of Superfluid Dark Matter

Alistair Hodson, Benoit Famaey, Hongsheng Zhao, Justin Khoury

arxiv:1611.05876 v2 · 2016-11-17 · astro-ph.CO · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZBUCNNZ6HDHDWOHRXFVMJYZEI5}

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	2026-05-18T00:29:55.855656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c86826b73e38ce3b38f1b96ac4e324477ab474a81abb3d070fe743a438895121

Aliases

arxiv: 1611.05876 · arxiv_version: 1611.05876v2 · doi: 10.48550/arxiv.1611.05876 · pith_short_12: ZBUCNNZ6HDHD · pith_short_16: ZBUCNNZ6HDHDWOHR · pith_short_8: ZBUCNNZ6

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/ZBUCNNZ6HDHDWOHRXFVMJYZEI5 \
  | 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: c86826b73e38ce3b38f1b96ac4e324477ab474a81abb3d070fe743a438895121

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24fd3e786d608bec4d943f55fdc5d8ac31c0d15c34d004f677a1489d0ad88beb",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-11-17T21:00:04Z",
    "title_canon_sha256": "294fe245efe246f55d5c8253a7fbd777c64162ca3cca9759ec3417098e8911b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05876",
    "kind": "arxiv",
    "version": 2
  }
}