Pith Number

pith:5HCRGEM6

pith:2006:5HCRGEM6ZKTMLCNA56JM4TIMXR

not attested not anchored not stored refs pending

On some exceptional cases in the integrability of the three-body problem

Alexei Tsygvintsev

arxiv:math/0610951 v1 · 2006-10-31 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HCRGEM6ZKTMLCNA56JM4TIMXR}

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	2026-05-18T00:07:44.260775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9c513119ecaa6c589a0ef92ce4d0cbc4cbb8e50b2d6cf2547429a70c225e61f

Aliases

arxiv: math/0610951 · arxiv_version: math/0610951v1 · doi: 10.48550/arxiv.math/0610951 · pith_short_12: 5HCRGEM6ZKTM · pith_short_16: 5HCRGEM6ZKTMLCNA · pith_short_8: 5HCRGEM6

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/5HCRGEM6ZKTMLCNA56JM4TIMXR \
  | 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: e9c513119ecaa6c589a0ef92ce4d0cbc4cbb8e50b2d6cf2547429a70c225e61f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d743f8338570dd9a9d0f2090211c2dc35992ec22b623c3c3e579e8d97efa544d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-10-31T02:05:39Z",
    "title_canon_sha256": "85e37691bf6f29f9e33c03d6e6d66df272e8537f1a783c8b7e28dfa7875c98bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610951",
    "kind": "arxiv",
    "version": 1
  }
}