Pith Number

pith:WX4JZ4CK

pith:2023:WX4JZ4CKXUI5BQQPSGYHNYY63P

not attested not anchored not stored refs pending

Binary Supermassive Black Holes Orbiting Dark Matter Solitons: From the Dual AGN in UGC4211 to NanoHertz Gravitational Waves

Chao Chen, Kai-Feng Zheng, Tao Liu, Tom Broadhurst

arxiv:2306.17821 v3 · 2023-06-30 · astro-ph.HE · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WX4JZ4CKXUI5BQQPSGYHNYY63P}

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	2026-07-05T08:17:09.929855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5f89cf04abd11d0c20f91b076e31edbd7389d9212343dd7c6a02b37f9408fa8

Aliases

arxiv: 2306.17821 · arxiv_version: 2306.17821v3 · doi: 10.48550/arxiv.2306.17821 · pith_short_12: WX4JZ4CKXUI5 · pith_short_16: WX4JZ4CKXUI5BQQP · pith_short_8: WX4JZ4CK

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/WX4JZ4CKXUI5BQQPSGYHNYY63P \
  | 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: b5f89cf04abd11d0c20f91b076e31edbd7389d9212343dd7c6a02b37f9408fa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07c1edfb77d598d5b78838f43cbf34086a07f4be53070cecda523eb980b360ed",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2023-06-30T17:40:07Z",
    "title_canon_sha256": "4aea60347b30b63d69b032325cf398272d626ebbd80ff9ee723ee281e90a04a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.17821",
    "kind": "arxiv",
    "version": 3
  }
}