Pith Number

pith:54KX7AO7

pith:2020:54KX7AO7BGPKZPJV745MJVRAKG

not attested not anchored not stored refs pending

Spin-Orbit Misalignments in Tertiary-Induced Black-Hole Binary Mergers: Theoretical Analysis

Bin Liu, Dong Lai, Yubo Su

arxiv:2010.11951 v2 · 2020-10-22 · 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{54KX7AO7BGPKZPJV745MJVRAKG}

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	2026-07-05T03:34:05.127205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef157f81df099eacbd35ff3ac4d62051bc71caff5711a03c87dff9861c57214c

Aliases

arxiv: 2010.11951 · arxiv_version: 2010.11951v2 · doi: 10.48550/arxiv.2010.11951 · pith_short_12: 54KX7AO7BGPK · pith_short_16: 54KX7AO7BGPKZPJV · pith_short_8: 54KX7AO7

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/54KX7AO7BGPKZPJV745MJVRAKG \
  | 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: ef157f81df099eacbd35ff3ac4d62051bc71caff5711a03c87dff9861c57214c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd6ba672e7d5e4de3b8b5344e71824f7d97b0e7b8f2fda7d2bb5933f60a8987e",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-10-22T18:00:00Z",
    "title_canon_sha256": "e7edf98a9c4b933f57e5ae4944298d1ea23eeea75543c673d3f4d4d4bb9a41af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.11951",
    "kind": "arxiv",
    "version": 2
  }
}