Pith Number

pith:MEKZZAIX

pith:2015:MEKZZAIXFF46MIS5WWHGVDZWXQ

not attested not anchored not stored refs pending

Finite cyclicity of some graphics through a nilpotent point of saddle type inside quadratic systems

Christiane Rousseau, Chunhua Shan, Huaiping Zhu

arxiv:1502.00689 v1 · 2015-02-03 · math.CA · 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{MEKZZAIXFF46MIS5WWHGVDZWXQ}

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	2026-05-18T02:28:04.602400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61159c81172979e6225db58e6a8f36bc3c8d7397967c10d48f981f8b76589bfa

Aliases

arxiv: 1502.00689 · arxiv_version: 1502.00689v1 · doi: 10.48550/arxiv.1502.00689 · pith_short_12: MEKZZAIXFF46 · pith_short_16: MEKZZAIXFF46MIS5 · pith_short_8: MEKZZAIX

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/MEKZZAIXFF46MIS5WWHGVDZWXQ \
  | 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: 61159c81172979e6225db58e6a8f36bc3c8d7397967c10d48f981f8b76589bfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f013c4d1e5811d5358234178fa28c59f4debe3d153e2d38b2ab96885abb295b6",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-02-03T00:05:10Z",
    "title_canon_sha256": "33257e589a4067b4010d76726573079e4fff506ecf2c68de77226e876cc227db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00689",
    "kind": "arxiv",
    "version": 1
  }
}