Pith Number

pith:W63WDGYE

pith:2017:W63WDGYEOSPWFNHRRCXOCC6ZU7

not attested not anchored not stored refs pending

Persistent heterodimensional cycles in periodic perturbations of Lorenz-like attractors

Dmitry Turaev, Dongchen Li

arxiv:1712.02674 v2 · 2017-12-07 · 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{W63WDGYEOSPWFNHRRCXOCC6ZU7}

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	2026-05-17T23:51:20.007636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7b7619b04749f62b4f188aee10bd9a7d7aa94919ba6bb745e191afbc54b6b09

Aliases

arxiv: 1712.02674 · arxiv_version: 1712.02674v2 · doi: 10.48550/arxiv.1712.02674 · pith_short_12: W63WDGYEOSPW · pith_short_16: W63WDGYEOSPWFNHR · pith_short_8: W63WDGYE

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/W63WDGYEOSPWFNHRRCXOCC6ZU7 \
  | 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: b7b7619b04749f62b4f188aee10bd9a7d7aa94919ba6bb745e191afbc54b6b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d46def4179baa187f749e394f57c3540ebef54eab9899587018dd56f7a03d77d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-12-07T15:39:54Z",
    "title_canon_sha256": "5a4a862e202038e47d46c7ec0daeacd296c405765d23249099888c7273e296fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02674",
    "kind": "arxiv",
    "version": 2
  }
}