Pith Number

pith:6XQZJF7M

pith:2017:6XQZJF7M2JTOEK2HYVV6SXG3MR

not attested not anchored not stored refs pending

Li-Yorke chaos translation set for linear operators

Bingzhe Hou, Lvlin Luo

arxiv:1712.02580 v1 · 2017-12-07 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6XQZJF7M2JTOEK2HYVV6SXG3MR}

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	2026-05-18T00:28:33.592971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5e19497ecd266e22b47c56be95cdb6456c49316c507fd2e74a704da85680880

Aliases

arxiv: 1712.02580 · arxiv_version: 1712.02580v1 · doi: 10.48550/arxiv.1712.02580 · pith_short_12: 6XQZJF7M2JTO · pith_short_16: 6XQZJF7M2JTOEK2H · pith_short_8: 6XQZJF7M

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/6XQZJF7M2JTOEK2HYVV6SXG3MR \
  | 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: f5e19497ecd266e22b47c56be95cdb6456c49316c507fd2e74a704da85680880

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ec1e4b90dd4af40a9279d6d07a33f9f707987049298d10657c0afb908eee35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-12-07T12:13:16Z",
    "title_canon_sha256": "2c8c3814f930045c2b92efebf90f878ea7a9def3b32f2b82a9af0c0651bd124b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02580",
    "kind": "arxiv",
    "version": 1
  }
}