Pith Number

pith:PXXVXZ6D

pith:2023:PXXVXZ6DRNJVOE4HT5JJ2CRLYQ

not attested not anchored not stored refs pending

Final parsec problem of black hole mergers and ultralight dark matter

Dongsu Bak, Hyeonmo Koo, Inkyu Park, Jae-Weon Lee, Sungwook E. Hong

arxiv:2311.03412 v2 · 2023-11-06 · 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{PXXVXZ6DRNJVOE4HT5JJ2CRLYQ}

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	2026-07-05T08:50:52.549863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7def5be7c38b535713879f529d0a2bc40f207ff113683b31dac91ea6fe07eab1

Aliases

arxiv: 2311.03412 · arxiv_version: 2311.03412v2 · doi: 10.48550/arxiv.2311.03412 · pith_short_12: PXXVXZ6DRNJV · pith_short_16: PXXVXZ6DRNJVOE4H · pith_short_8: PXXVXZ6D

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/PXXVXZ6DRNJVOE4HT5JJ2CRLYQ \
  | 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: 7def5be7c38b535713879f529d0a2bc40f207ff113683b31dac91ea6fe07eab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8427e3ec2135b640e88dca2f9a4fa6d11c1eb6e36cce41d09c68e78044377b2f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2023-11-06T07:03:44Z",
    "title_canon_sha256": "240990e9e2d32059c5a8461c1dd62bd2cca35d958de421422a281894c96e2523"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.03412",
    "kind": "arxiv",
    "version": 2
  }
}