Pith Number

pith:4EKZO56B

pith:2011:4EKZO56BWP62VLJWQ3SFBCCWS2

not attested not anchored not stored refs pending

Saari's homographic conjecture for planar equal-mass three-body problem under a strong force potential

Hiroshi Fukuda, Hiroshi Ozaki, Tetsuya Taniguchi, Toshiaki Fujiwara

arxiv:1107.2178 v2 · 2011-07-12 · 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{4EKZO56BWP62VLJWQ3SFBCCWS2}

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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	2026-05-18T02:21:42.916691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1159777c1b3fdaaad3686e4508856968c5eb3a9224c17e307e7b26f6e058cbe

Aliases

arxiv: 1107.2178 · arxiv_version: 1107.2178v2 · doi: 10.48550/arxiv.1107.2178 · pith_short_12: 4EKZO56BWP62 · pith_short_16: 4EKZO56BWP62VLJW · pith_short_8: 4EKZO56B

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/4EKZO56BWP62VLJWQ3SFBCCWS2 \
  | 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: e1159777c1b3fdaaad3686e4508856968c5eb3a9224c17e307e7b26f6e058cbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d439cf9f5afac6701b4d3203204ddda1f69622de5b45f2e0bec1c0b1dec2c569",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-07-12T01:57:18Z",
    "title_canon_sha256": "8dd5d0ae636318db313aa18a15c8969b1fb66677dc95a8c15387c705e67ede2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2178",
    "kind": "arxiv",
    "version": 2
  }
}