Pith Number

pith:FV6WAR7I

pith:2016:FV6WAR7IZUYUII2Q7DK73KANVD

not attested not anchored not stored refs pending

Double-Averaging Can Fail to Characterize the Long-Term Evolution of Lidov-Kozai Cycles & Derivation of an Analytical Correction

Boaz Katz (Weizmann), Liantong Luo (KIAA-PKU), Subo Dong (KIAA-PKU)

arxiv:1601.04345 v2 · 2016-01-17 · 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{FV6WAR7IZUYUII2Q7DK73KANVD}

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	2026-05-18T01:17:50.304493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d7d6047e8cd31442350f8d5fda80da8cf480ff9317f6a5ce79b3e3a0f4c46a1

Aliases

arxiv: 1601.04345 · arxiv_version: 1601.04345v2 · doi: 10.48550/arxiv.1601.04345 · pith_short_12: FV6WAR7IZUYU · pith_short_16: FV6WAR7IZUYUII2Q · pith_short_8: FV6WAR7I

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/FV6WAR7IZUYUII2Q7DK73KANVD \
  | 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: 2d7d6047e8cd31442350f8d5fda80da8cf480ff9317f6a5ce79b3e3a0f4c46a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ca9cf53a08706a27d7ac2371d036e422eb762e4803a192110c13485a51f53e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2016-01-17T21:00:04Z",
    "title_canon_sha256": "68fe361c0606aff4e3c69d92402e7e35f76aaa2461e769d6e9f154d499a2167a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04345",
    "kind": "arxiv",
    "version": 2
  }
}