Pith Number

pith:ZWYHLVGP

pith:2012:ZWYHLVGPPCKK433JP2IY5PDCMO

not attested not anchored not stored refs pending

On Li-Yorke Measurable Sensitivity

Cesar E. Silva, Jared Hallett, Lucas Manuelli

arxiv:1207.3575 v2 · 2012-07-16 · 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{ZWYHLVGPPCKK433JP2IY5PDCMO}

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	2026-05-18T03:00:26.989861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdb075d4cf7894ae6f697e918ebc62639619df2a150560301ec6494a53b80e95

Aliases

arxiv: 1207.3575 · arxiv_version: 1207.3575v2 · doi: 10.48550/arxiv.1207.3575 · pith_short_12: ZWYHLVGPPCKK · pith_short_16: ZWYHLVGPPCKK433J · pith_short_8: ZWYHLVGP

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/ZWYHLVGPPCKK433JP2IY5PDCMO \
  | 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: cdb075d4cf7894ae6f697e918ebc62639619df2a150560301ec6494a53b80e95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5e4047f5c0bcbf9c1c376e2d86aa2629ca27cad15d9aaaf5b3610715d61e866",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-07-16T04:46:52Z",
    "title_canon_sha256": "d5fb09e1bbf3a6797e1f87b06f16b85ca78bd931e845dd5b6b9f4fe0d674ba98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3575",
    "kind": "arxiv",
    "version": 2
  }
}