Pith Number

pith:UJ5JTJGP

pith:2017:UJ5JTJGP7GFWUOPT2LFTBCWGBH

not attested not anchored not stored refs pending

A Physical Interpretation of the Titius-Bode Rule and its Connection to the Closed Orbits of Bertrand's Theorem

Demosthenes Kazanas, Dimitris M. Christodoulou

arxiv:1705.09356 v6 · 2017-05-25 · 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{UJ5JTJGP7GFWUOPT2LFTBCWGBH}

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	2026-05-18T00:27:46.564571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a27a99a4cff98b6a39f3d2cb308ac609fa58958d4fcd0b43cad911c0e17c611f

Aliases

arxiv: 1705.09356 · arxiv_version: 1705.09356v6 · doi: 10.48550/arxiv.1705.09356 · pith_short_12: UJ5JTJGP7GFW · pith_short_16: UJ5JTJGP7GFWUOPT · pith_short_8: UJ5JTJGP

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/UJ5JTJGP7GFWUOPT2LFTBCWGBH \
  | 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: a27a99a4cff98b6a39f3d2cb308ac609fa58958d4fcd0b43cad911c0e17c611f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb1852c8d2c630b75423229929b54b2fbd940fd6727b563debc6ffadc979068c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2017-05-25T20:49:28Z",
    "title_canon_sha256": "d87f4be7bfb450f1287ac6adbdc86699974ec1fb9d699304d6e5a92e54879003"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09356",
    "kind": "arxiv",
    "version": 6
  }
}