Pith Number

pith:DY6ZLNFE

pith:2017:DY6ZLNFETQSGQYNOZBJ4KKIIP3

not attested not anchored not stored refs pending

Uniqueness of Limit Cycles for Quadratic Vector Fields

Fernando S\'anchez, Ignacio Ojeda, Jos\'e Luis Bravo, Manuel Fern\'andez

arxiv:1709.00903 v1 · 2017-09-04 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DY6ZLNFETQSGQYNOZBJ4KKIIP3}

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	2026-05-18T00:36:04.773800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e3d95b4a49c246861aec853c529087effaff84cf8d5d07ddb380ce1a3f3f54f

Aliases

arxiv: 1709.00903 · arxiv_version: 1709.00903v1 · doi: 10.48550/arxiv.1709.00903 · pith_short_12: DY6ZLNFETQSG · pith_short_16: DY6ZLNFETQSGQYNO · pith_short_8: DY6ZLNFE

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/DY6ZLNFETQSGQYNOZBJ4KKIIP3 \
  | 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: 1e3d95b4a49c246861aec853c529087effaff84cf8d5d07ddb380ce1a3f3f54f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ea7191643890cd8c2bf53dcbca60aad1d8f9455e5aaebbb8a81f76889759ca0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-09-04T11:22:04Z",
    "title_canon_sha256": "28eb9ddd90202589808a19e92fefd36730d297419c7fa5b0e6142bdf11d58df6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00903",
    "kind": "arxiv",
    "version": 1
  }
}