Pith Number

pith:WNL32L7K

pith:2004:WNL32L7KP7LE4H5G2BOIJUWEEX

not attested not anchored not stored refs pending

The Role of Gas in the Merging of Massive Black Holes in Galactic Nuclei. II. Black Hole Merging in a Clumpy Disk

Andres Escala, Paolo S. Coppi & Diego Mardones, Richard B. Larson

arxiv:astro-ph/0406304 v1 · 2004-06-11 · astro-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{WNL32L7KP7LE4H5G2BOIJUWEEX}

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	2026-07-04T16:44:00.158750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b357bd2fea7fd64e1fa6d05c84d2c425d5fb7c8bceafeff3f4a5e313db1575c6

Aliases

arxiv: astro-ph/0406304 · arxiv_version: astro-ph/0406304v1 · doi: 10.48550/arxiv.astro-ph/0406304 · pith_short_12: WNL32L7KP7LE · pith_short_16: WNL32L7KP7LE4H5G · pith_short_8: WNL32L7K

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/WNL32L7KP7LE4H5G2BOIJUWEEX \
  | 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: b357bd2fea7fd64e1fa6d05c84d2c425d5fb7c8bceafeff3f4a5e313db1575c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "483bdf5feb7733c62f40ae5d4d84efec63cf5034385ca95aafc21efe4df28008",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-06-11T22:58:53Z",
    "title_canon_sha256": "de017327bd716276b31fd4c948dd97c579e59901eba57e5fff637bf0d8696af7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0406304",
    "kind": "arxiv",
    "version": 1
  }
}