Pith Number

pith:PT2MBCFF

pith:2012:PT2MBCFFEDOKFQW3Q6KFQM4K3K

not attested not anchored not stored refs pending

Saari's homographic conjecture for planar equal-mass three-body problem in Newton gravity

Hiroshi Fukuda, Hiroshi Ozaki, Tetsuya Taniguchi, Toshiaki Fujiwara

arxiv:1202.0893 v1 · 2012-02-04 · 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{PT2MBCFFEDOKFQW3Q6KFQM4K3K}

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	2026-05-17T23:57:01.034542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cf4c088a520dca2c2db879458338adaa24b71586db3b85d1acd8770316fd1b8

Aliases

arxiv: 1202.0893 · arxiv_version: 1202.0893v1 · doi: 10.48550/arxiv.1202.0893 · pith_short_12: PT2MBCFFEDOK · pith_short_16: PT2MBCFFEDOKFQW3 · pith_short_8: PT2MBCFF

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/PT2MBCFFEDOKFQW3Q6KFQM4K3K \
  | 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: 7cf4c088a520dca2c2db879458338adaa24b71586db3b85d1acd8770316fd1b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18e70205f4d95e2b0af46a69a649db32b538d46a0f90127a7e54c39ae811432c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-02-04T12:43:36Z",
    "title_canon_sha256": "f7bc42d301ec100c20f094919be906ce999c1f84878f29f19419b7286b1e0926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0893",
    "kind": "arxiv",
    "version": 1
  }
}