Pith Number

pith:X6BAYQKI

pith:2014:X6BAYQKISHQZELZBJUVVOOGLO5

not attested not anchored not stored refs pending

All the Lagrangian relative equilibria of the curved 3-body problem have equal masses

Florin Diacu, Sergiu Popa

arxiv:1409.5073 v1 · 2014-09-17 · 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{X6BAYQKISHQZELZBJUVVOOGLO5}

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	2026-05-18T01:19:18.780543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf820c414891e1922f214d2b5738cb776b1e28bfe7d916f8a9b87780d0cd3a87

Aliases

arxiv: 1409.5073 · arxiv_version: 1409.5073v1 · doi: 10.48550/arxiv.1409.5073 · pith_short_12: X6BAYQKISHQZ · pith_short_16: X6BAYQKISHQZELZB · pith_short_8: X6BAYQKI

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/X6BAYQKISHQZELZBJUVVOOGLO5 \
  | 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: bf820c414891e1922f214d2b5738cb776b1e28bfe7d916f8a9b87780d0cd3a87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "931804394f0f20b6dfa94e8606c9d64542a92554ae850ece1d6b15f860bef030",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-09-17T17:06:12Z",
    "title_canon_sha256": "a9f9ffb03ac936b7603956d0d697b8fbf805d6a545ba1f077e161b28e8275012"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5073",
    "kind": "arxiv",
    "version": 1
  }
}