Pith Number

pith:WBKTS4J5

pith:2010:WBKTS4J5Y5EKMAGIV7Z72D3NWU

not attested not anchored not stored refs pending

On the bifurcation and continuation of periodic orbits in the three-body problem

G. Voyatzis, K. I. Antoniadou, T. Kotoulas

arxiv:1012.4609 v3 · 2010-12-21 · astro-ph.EP · 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{WBKTS4J5Y5EKMAGIV7Z72D3NWU}

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	2026-05-18T04:09:45.824310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b05539713dc748a600c8aff3fd0f6db50c769e1e71739e10c818aacc3e22bfd5

Aliases

arxiv: 1012.4609 · arxiv_version: 1012.4609v3 · doi: 10.48550/arxiv.1012.4609 · pith_short_12: WBKTS4J5Y5EK · pith_short_16: WBKTS4J5Y5EKMAGI · pith_short_8: WBKTS4J5

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/WBKTS4J5Y5EKMAGIV7Z72D3NWU \
  | 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: b05539713dc748a600c8aff3fd0f6db50c769e1e71739e10c818aacc3e22bfd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50fd85b9a3619d84f5b274d8117b00e670f1bc4a57666fb3a4bd8feb6c6ff360",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.EP",
    "submitted_at": "2010-12-21T11:13:52Z",
    "title_canon_sha256": "1f218894a16457dbb4abe60e207b848b34aa7504e18c47babb5a8a5f6c0b0f2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4609",
    "kind": "arxiv",
    "version": 3
  }
}