Pith Number

pith:5NQFB5QR

pith:2015:5NQFB5QRI46CGH4JYCXRF2DA2R

not attested not anchored not stored refs pending

Bifurcations of the Lagrangian orbits from the classical to the curved 3-body problem

Florin Diacu

arxiv:1508.06043 v1 · 2015-08-25 · 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{5NQFB5QRI46CGH4JYCXRF2DA2R}

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	2026-05-18T00:54:41.485882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb6050f611473c231f89c0af12e860d47bd2557c33148b8d010297385c92487b

Aliases

arxiv: 1508.06043 · arxiv_version: 1508.06043v1 · doi: 10.48550/arxiv.1508.06043 · pith_short_12: 5NQFB5QRI46C · pith_short_16: 5NQFB5QRI46CGH4J · pith_short_8: 5NQFB5QR

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/5NQFB5QRI46CGH4JYCXRF2DA2R \
  | 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: eb6050f611473c231f89c0af12e860d47bd2557c33148b8d010297385c92487b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a11554532f8788a675cab31299a5c7257b34840f013b88599beaa90bdd316770",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-25T06:30:28Z",
    "title_canon_sha256": "e38d85c093f2ff265b1e702db28d78cfe58c517234d6ccdf277dc59a29d22e5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06043",
    "kind": "arxiv",
    "version": 1
  }
}