Pith Number

pith:MHEOJUQF

pith:2021:MHEOJUQFLPPSVHV52YKQ5M4LZX

not attested not anchored not stored refs pending

The imprint of superradiance on hierarchical black hole mergers

Eric Thrane, Ethan Payne, Kyle Kremer, Ling Sun, Paul D. Lasky

arxiv:2107.11730 v1 · 2021-07-25 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHEOJUQFLPPSVHV52YKQ5M4LZX}

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	2026-07-05T04:27:43.933508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61c8e4d2055bdf2a9ebdd6150eb38bcdebda19434e5545a5dba656cd3ce61f74

Aliases

arxiv: 2107.11730 · arxiv_version: 2107.11730v1 · doi: 10.48550/arxiv.2107.11730 · pith_short_12: MHEOJUQFLPPS · pith_short_16: MHEOJUQFLPPSVHV5 · pith_short_8: MHEOJUQF

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/MHEOJUQFLPPSVHV52YKQ5M4LZX \
  | 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: 61c8e4d2055bdf2a9ebdd6150eb38bcdebda19434e5545a5dba656cd3ce61f74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfc19819ca37406be63c72411ea19df11dff648e9d732d7f9b2452fb4539a3ac",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-07-25T05:33:22Z",
    "title_canon_sha256": "a683e26b8446c47f40dcc1a2661a1f4fae523ece59d0cc8ceb5765958766431f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.11730",
    "kind": "arxiv",
    "version": 1
  }
}