Pith Number

pith:K5B4QC3Z

pith:2018:K5B4QC3ZGT4XVCKLLNBHXMSPZE

not attested not anchored not stored refs pending

Kepler's third law of n-body periodic orbits in a Newtonian gravitation field

Bohua Sun

arxiv:1807.10685 v1 · 2018-07-25 · physics.gen-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{K5B4QC3ZGT4XVCKLLNBHXMSPZE}

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	2026-05-18T00:09:39.766801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5743c80b7934f97a894b5b427bb24fc92a2686e871f0cc52644798f71981887f

Aliases

arxiv: 1807.10685 · arxiv_version: 1807.10685v1 · doi: 10.48550/arxiv.1807.10685 · pith_short_12: K5B4QC3ZGT4X · pith_short_16: K5B4QC3ZGT4XVCKL · pith_short_8: K5B4QC3Z

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/K5B4QC3ZGT4XVCKLLNBHXMSPZE \
  | 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: 5743c80b7934f97a894b5b427bb24fc92a2686e871f0cc52644798f71981887f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff9fe489a6245326a7bed87fa48cbbbd571b6b01fdd39a0d21829d6ecc242d9a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2018-07-25T22:48:03Z",
    "title_canon_sha256": "cabc8479f5a7ac1283aa9f0797ed9531d0cce0b3e32297de82067f3d0c48bac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10685",
    "kind": "arxiv",
    "version": 1
  }
}