Pith Number

pith:LJZAL6H5

pith:2021:LJZAL6H5QYGYFF4VVSHTXEIZTY

not attested not anchored not stored refs pending

Relativistic Dynamical Stability Criterion of Multi-Planet Systems with a Distant Companion

Lingfeng Wei, Smadar Naoz, Thea Faridani, Will M. Farr

arxiv:2106.02276 v4 · 2021-06-04 · astro-ph.EP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LJZAL6H5QYGYFF4VVSHTXEIZTY}

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	2026-07-05T07:21:37.144484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a7205f8fd860d829795ac8f3b91199e145c339467802f612d829a161144cc08

Aliases

arxiv: 2106.02276 · arxiv_version: 2106.02276v4 · doi: 10.48550/arxiv.2106.02276 · pith_short_12: LJZAL6H5QYGY · pith_short_16: LJZAL6H5QYGYFF4V · pith_short_8: LJZAL6H5

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/LJZAL6H5QYGYFF4VVSHTXEIZTY \
  | 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: 5a7205f8fd860d829795ac8f3b91199e145c339467802f612d829a161144cc08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "772cbb9d336e6325b672f6bbf6e12f4b97a1a5ce303351671fc07c2e80b95f4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2021-06-04T06:03:52Z",
    "title_canon_sha256": "e9f9508673af2784f114ec504218a9cce7a36fbf85c29f564a3697697f464c01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.02276",
    "kind": "arxiv",
    "version": 4
  }
}