Pith Number

pith:56V5PYBZ

pith:2018:56V5PYBZZ3UCHONLQN32CT2F4F

not attested not anchored not stored refs pending

Singular cycles connecting saddle periodic orbit and saddle equilibrium in piecewise smooth systems

Lei Wang, Xiao-Song Yang

arxiv:1808.10634 v1 · 2018-08-31 · 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{56V5PYBZZ3UCHONLQN32CT2F4F}

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	2026-05-18T00:06:45.183860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efabd7e039cee823b9ab8377a14f45e153f528e2007aebebfe55e84b07eda6ac

Aliases

arxiv: 1808.10634 · arxiv_version: 1808.10634v1 · doi: 10.48550/arxiv.1808.10634 · pith_short_12: 56V5PYBZZ3UC · pith_short_16: 56V5PYBZZ3UCHONL · pith_short_8: 56V5PYBZ

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/56V5PYBZZ3UCHONLQN32CT2F4F \
  | 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: efabd7e039cee823b9ab8377a14f45e153f528e2007aebebfe55e84b07eda6ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "517f5eef6ae780992ec2bf012a3da9cc6c631655b08ecfbcee141d8e67f4648b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-08-31T08:44:01Z",
    "title_canon_sha256": "e237c3d56c3ea86e0f899ce59a92f6d7377a15074c1644484180523ffd14cce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10634",
    "kind": "arxiv",
    "version": 1
  }
}