Pith Number

pith:TSOOELVP

pith:2016:TSOOELVPUBCGMJ2Q5Z53G7EXOE

not attested not anchored not stored refs pending

Planetary Ring Dynamics -- The Streamline Formalism -- 1. From Boltzmann Equation to Celestial Mechanics

Pierre-Yves Longaretti

arxiv:1606.00759 v2 · 2016-06-02 · 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{TSOOELVPUBCGMJ2Q5Z53G7EXOE}

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	2026-05-18T00:48:42.710347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c9ce22eafa044662750ee7bb37c97710709c5a8c1d6aee4b7f1db7f8187ed1f

Aliases

arxiv: 1606.00759 · arxiv_version: 1606.00759v2 · doi: 10.48550/arxiv.1606.00759 · pith_short_12: TSOOELVPUBCG · pith_short_16: TSOOELVPUBCGMJ2Q · pith_short_8: TSOOELVP

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/TSOOELVPUBCGMJ2Q5Z53G7EXOE \
  | 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: 9c9ce22eafa044662750ee7bb37c97710709c5a8c1d6aee4b7f1db7f8187ed1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86a4c02081a4f2db70b2c4e081e1b6b0a712c5a9757bd70686b24c9380dbf4c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2016-06-02T16:51:43Z",
    "title_canon_sha256": "c202eca27a2dac1911e87775bb64967d8dd24314dd7f731c3e93e6ce57910f17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00759",
    "kind": "arxiv",
    "version": 2
  }
}