Pith Number

pith:TRQ4GUJE

pith:2013:TRQ4GUJES2EOHJHRRPZW4OZGY2

not attested not anchored not stored refs pending

Resonant planetary dynamics: Periodic orbits and long-term stability

George Voyatzis, John D. Hadjidemetriou, Kyriaki I. Antoniadou

arxiv:1306.0689 v2 · 2013-06-04 · 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{TRQ4GUJES2EOHJHRRPZW4OZGY2}

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	2026-05-18T03:21:11.436923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c61c351249688e3a4f18bf36e3b26c6adb6c587132410e37053208f86f0c9b6

Aliases

arxiv: 1306.0689 · arxiv_version: 1306.0689v2 · doi: 10.48550/arxiv.1306.0689 · pith_short_12: TRQ4GUJES2EO · pith_short_16: TRQ4GUJES2EOHJHR · pith_short_8: TRQ4GUJE

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/TRQ4GUJES2EOHJHRRPZW4OZGY2 \
  | 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: 9c61c351249688e3a4f18bf36e3b26c6adb6c587132410e37053208f86f0c9b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ebe20e025f8f141bc12087751f72eb8404eb699e83ae6b2c1e55288e48e24e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2013-06-04T07:45:14Z",
    "title_canon_sha256": "973794be7e2b952a5b210ad1314238d48d29790ffa8a2dd85cf5cdcd7c7cb7cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0689",
    "kind": "arxiv",
    "version": 2
  }
}