Pith Number

pith:5JTPLVF5

pith:2012:5JTPLVF5BBAY5YTSQ3J3CHIO7Y

not attested not anchored not stored refs pending

Numerical periodic normalization for codim 2 bifurcations of limit cycles with center manifold of dimension higher than 3

Hil Meijer, Virginie De Witte, Willy Govaerts, Yuri A. Kuznetsov

arxiv:1210.6205 v1 · 2012-10-23 · math.DS · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5JTPLVF5BBAY5YTSQ3J3CHIO7Y}

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	2026-05-18T03:42:32.899819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea66f5d4bd08418ee27286d3b11d0efe122e9932f31daf912de2d3ca3f7945ef

Aliases

arxiv: 1210.6205 · arxiv_version: 1210.6205v1 · doi: 10.48550/arxiv.1210.6205 · pith_short_12: 5JTPLVF5BBAY · pith_short_16: 5JTPLVF5BBAY5YTS · pith_short_8: 5JTPLVF5

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/5JTPLVF5BBAY5YTSQ3J3CHIO7Y \
  | 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: ea66f5d4bd08418ee27286d3b11d0efe122e9932f31daf912de2d3ca3f7945ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8e19b1848e360dd05a7b3ec9a165d29f31f03ca0e4e8099da6370c89b0e56d0",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-10-23T11:36:51Z",
    "title_canon_sha256": "ca8d660bac986a55f49657531324a713aaf204c0b0f4f14f96cf92d46f50c52d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6205",
    "kind": "arxiv",
    "version": 1
  }
}