Pith Number

pith:HP22KRDQ

pith:2013:HP22KRDQIMYTQGE7UEWRL4H4I5

not attested not anchored not stored refs pending

Parametric normal forms for Bogdanov--Takens singularity; the generalized saddle-node case

Majid Gazor, Mojtaba Moazeni

arxiv:1304.7329 v4 · 2013-04-27 · math.DS · 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{HP22KRDQIMYTQGE7UEWRL4H4I5}

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	2026-05-18T02:30:33.946607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bf5a54470433138189fa12d15f0fc4749f724bdaeda88e4b485a5c1d5fde922

Aliases

arxiv: 1304.7329 · arxiv_version: 1304.7329v4 · doi: 10.48550/arxiv.1304.7329 · pith_short_12: HP22KRDQIMYT · pith_short_16: HP22KRDQIMYTQGE7 · pith_short_8: HP22KRDQ

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/HP22KRDQIMYTQGE7UEWRL4H4I5 \
  | 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: 3bf5a54470433138189fa12d15f0fc4749f724bdaeda88e4b485a5c1d5fde922

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4081e588c8473f905b905b91e7ed69b9967b6eaf21d2115b04d1c17468c6701f",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-04-27T06:09:43Z",
    "title_canon_sha256": "13327bfb35735d9a0db8dc229bae83938b6d02032b806ed5709a81a6c0b83f1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7329",
    "kind": "arxiv",
    "version": 4
  }
}