Pith Number

pith:KJDUOEPG

pith:2018:KJDUOEPGU7DM7XKLTMUFCT5NA7

not attested not anchored not stored refs pending

Poincar\'e-Bendixson Theorem for Hybrid Systems

Anthony Bloch, Leonardo Colombo, William Clark

arxiv:1801.09014 v1 · 2018-01-27 · math.DS · cs.SY · math.OC · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KJDUOEPGU7DM7XKLTMUFCT5NA7}

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	2026-05-18T00:24:58.879018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52474711e6a7c6cfdd4b9b28514fad07deaa2ab3efb5f91fdf64775c443b800c

Aliases

arxiv: 1801.09014 · arxiv_version: 1801.09014v1 · doi: 10.48550/arxiv.1801.09014 · pith_short_12: KJDUOEPGU7DM · pith_short_16: KJDUOEPGU7DM7XKL · pith_short_8: KJDUOEPG

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/KJDUOEPGU7DM7XKLTMUFCT5NA7 \
  | 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: 52474711e6a7c6cfdd4b9b28514fad07deaa2ab3efb5f91fdf64775c443b800c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a98b719c789a3800e4c961bb4e58209d8da97944c139e7dac78dfe50d2e26fba",
    "cross_cats_sorted": [
      "cs.SY",
      "math.OC",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-01-27T00:48:09Z",
    "title_canon_sha256": "f6a1313dfb84c73db64ff24c94e6545c76276c9df89c5eef70c25c48b0a32b8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09014",
    "kind": "arxiv",
    "version": 1
  }
}