Pith Number

pith:P4ZKCOIX

pith:2015:P4ZKCOIXPZPQTC5ZXTYHNB46FI

not attested not anchored not stored refs pending

Practical application of KAM theory to galactic dynamics: II. Application to weakly chaotic orbits in barred galaxies

Martin D. Weinberg

arxiv:1508.05959 v1 · 2015-08-24 · astro-ph.GA · nlin.CD

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4ZKCOIXPZPQTC5ZXTYHNB46FI}

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	2026-05-18T01:34:47.257354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f32a139177e5f098bb9bcf076879e2a08ce33787ad45fc2a20ec48997befc24

Aliases

arxiv: 1508.05959 · arxiv_version: 1508.05959v1 · doi: 10.48550/arxiv.1508.05959 · pith_short_12: P4ZKCOIXPZPQ · pith_short_16: P4ZKCOIXPZPQTC5Z · pith_short_8: P4ZKCOIX

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/P4ZKCOIXPZPQTC5ZXTYHNB46FI \
  | 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: 7f32a139177e5f098bb9bcf076879e2a08ce33787ad45fc2a20ec48997befc24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2caaaad8990c15f5d8af3b2b0ecf7b3eab0ebfbd96705a24f31e8f892685744a",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2015-08-24T20:23:35Z",
    "title_canon_sha256": "2e08754a81d1127d645070819e10e40e20755186d99a22b719a3c6a96362a303"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05959",
    "kind": "arxiv",
    "version": 1
  }
}