Pith Number

pith:USXLMPFJ

pith:2021:USXLMPFJG66MPCNUIV5VCYB5W3

not attested not anchored not stored refs pending

Chaos in self-gravitating many-body systems: Lyapunov time dependence of $N$ and the influence of general relativity

Adrian S. Hamers (MPI), Emiel Por (STScI), Oxford), Simon F. Portegies Zwart (Leiden Observatory), Steve L.W. McMillan (Drexel), Tjarda C.N. Boekholt (Clarendon Laboratory

arxiv:2109.11012 v2 · 2021-09-22 · nlin.CD · astro-ph.CO · astro-ph.HE · gr-qc · physics.comp-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{USXLMPFJG66MPCNUIV5VCYB5W3}

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.

Cited by

1 paper in Pith

Why Wide Jupiter-Mass Binary-Objects Cannot Form

Receipt and verification

First computed	2026-07-05T04:04:21.076536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4aeb63ca937bcc789b4457b51603db6d0b6ed3f9a5ac0821b2b5876b1eaa37d

Aliases

arxiv: 2109.11012 · arxiv_version: 2109.11012v2 · doi: 10.48550/arxiv.2109.11012 · pith_short_12: USXLMPFJG66M · pith_short_16: USXLMPFJG66MPCNU · pith_short_8: USXLMPFJ

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/USXLMPFJG66MPCNUIV5VCYB5W3 \
  | 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: a4aeb63ca937bcc789b4457b51603db6d0b6ed3f9a5ac0821b2b5876b1eaa37d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "753553c70497158c810958ce95f6ba0436734625dcc2cf6eb5785661c9245564",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.HE",
      "gr-qc",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2021-09-22T20:00:17Z",
    "title_canon_sha256": "d6d0a9a6281f8cd389da40db1a8d757942da7de5e755da4c2c2be4b19b6b28b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.11012",
    "kind": "arxiv",
    "version": 2
  }
}