Pith Number

pith:QXJWSUW7

pith:2013:QXJWSUW754SANUG7CRQKK6EPCR

not attested not anchored not stored refs pending

Bifurcation of ten small-amplitude limit cycles by perturbing a quadratic Hamiltonian system

Pei Yu, Yun Tian

arxiv:1311.3381 v3 · 2013-11-14 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QXJWSUW754SANUG7CRQKK6EPCR}

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	2026-05-18T00:39:53.270767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d36952dfef2406d0df1460a5788f147068b0d4fce7b642d863c5bfd0ffd7ab

Aliases

arxiv: 1311.3381 · arxiv_version: 1311.3381v3 · doi: 10.48550/arxiv.1311.3381 · pith_short_12: QXJWSUW754SA · pith_short_16: QXJWSUW754SANUG7 · pith_short_8: QXJWSUW7

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/QXJWSUW754SANUG7CRQKK6EPCR \
  | 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: 85d36952dfef2406d0df1460a5788f147068b0d4fce7b642d863c5bfd0ffd7ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d68744cc26a19d84181ceba4aa6a2702660fdf8f321c62a48e7210d626b4770",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-14T05:12:24Z",
    "title_canon_sha256": "4fc1a1ffd5e948bfc87a060ee374e842a0e0ca63c7fb463347ee134f9a6dc945"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3381",
    "kind": "arxiv",
    "version": 3
  }
}