Pith Number

pith:SUXYAE2U

pith:2008:SUXYAE2U2NZ7E4ZPQO2QPPWBUJ

not attested not anchored not stored refs pending

Periodic orbits and chaos in fast-slow systems with Bogdanov-Takens type fold points

Hayato Chiba

arxiv:0812.1446 v3 · 2008-12-08 · 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{SUXYAE2U2NZ7E4ZPQO2QPPWBUJ}

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	2026-05-18T02:24:56.742738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

952f801354d373f2732f83b507bec1a25ac3b72399b9b9176415e34edcfd7132

Aliases

arxiv: 0812.1446 · arxiv_version: 0812.1446v3 · doi: 10.48550/arxiv.0812.1446 · pith_short_12: SUXYAE2U2NZ7 · pith_short_16: SUXYAE2U2NZ7E4ZP · pith_short_8: SUXYAE2U

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/SUXYAE2U2NZ7E4ZPQO2QPPWBUJ \
  | 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: 952f801354d373f2732f83b507bec1a25ac3b72399b9b9176415e34edcfd7132

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f490eb8db71ba5a319e5f34fa4ae9b8abeaa4903c50c052b7b8327d4beb2b8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-12-08T09:40:10Z",
    "title_canon_sha256": "33b9d36c120f9b4ce3433cb2ab9e79ed39e1a8404c7f7069ab7983a43cbc5929"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1446",
    "kind": "arxiv",
    "version": 3
  }
}