Pith Number

pith:QOZKKDI5

pith:2012:QOZKKDI5OXG75F7BCBOJLPVV2N

not attested not anchored not stored refs pending

For graph maps, one scrambled pair implies Li-Yorke chaos

L'ubom\'ir Snoha, Sylvie Ruette

arxiv:1205.3882 v1 · 2012-05-17 · 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{QOZKKDI5OXG75F7BCBOJLPVV2N}

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	2026-05-18T02:48:18.003426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83b2a50d1d75cdfe97e1105c95beb5d3414eea66249b00414358938ab2c35bc7

Aliases

arxiv: 1205.3882 · arxiv_version: 1205.3882v1 · doi: 10.48550/arxiv.1205.3882 · pith_short_12: QOZKKDI5OXG7 · pith_short_16: QOZKKDI5OXG75F7B · pith_short_8: QOZKKDI5

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/QOZKKDI5OXG75F7BCBOJLPVV2N \
  | 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: 83b2a50d1d75cdfe97e1105c95beb5d3414eea66249b00414358938ab2c35bc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91a3b9354d2ef03e2026427bccb2f037bf6523d4ec3421622a0c887190c330c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-17T09:00:24Z",
    "title_canon_sha256": "aedcdaf8e13aa4d31e2491ce76338ff587d7e19935f1f4a7e2530733305b1281"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3882",
    "kind": "arxiv",
    "version": 1
  }
}