Pith Number

pith:5VP3D33Z

pith:2019:5VP3D33Z3SIKVX4DITNWQG57OR

not attested not anchored not stored refs pending

Morse index and bifurcation for figure-eight choreographies of the equal mass three-body problem

Hiroshi Fukuda, Hiroshi Ozaki, Toshiaki Fujiwara

arxiv:1901.00115 v2 · 2019-01-01 · 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{5VP3D33Z3SIKVX4DITNWQG57OR}

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	2026-05-17T23:48:57.964221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed5fb1ef79dc90aadf8344db681bbf74463476c0a085b41e4c5a4f07c171942e

Aliases

arxiv: 1901.00115 · arxiv_version: 1901.00115v2 · doi: 10.48550/arxiv.1901.00115 · pith_short_12: 5VP3D33Z3SIK · pith_short_16: 5VP3D33Z3SIKVX4D · pith_short_8: 5VP3D33Z

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/5VP3D33Z3SIKVX4DITNWQG57OR \
  | 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: ed5fb1ef79dc90aadf8344db681bbf74463476c0a085b41e4c5a4f07c171942e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f3a8b639745e59bbbca8c5d1e90c7b3947d43932703aeb02b6d30ab22332c8d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-01-01T08:28:59Z",
    "title_canon_sha256": "84ff5714b44a7e2937f079dfebdbc1016583feb490d933a3b27db328bbfd5a1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00115",
    "kind": "arxiv",
    "version": 2
  }
}