Pith Number

pith:Z4B3TQU7

pith:2009:Z4B3TQU75OOBAJKI5NX2HWL72B

not attested not anchored not stored refs pending

Nice sets and invariant densities in complex dynamics

Neil Dobbs

arxiv:0902.3140 v3 · 2009-02-18 · 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{Z4B3TQU75OOBAJKI5NX2HWL72B}

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	2026-05-18T03:59:01.683423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf03b9c29feb9c102548eb6fa3d97fd041b962687435fa4d8500edd1d20ecdcb

Aliases

arxiv: 0902.3140 · arxiv_version: 0902.3140v3 · doi: 10.48550/arxiv.0902.3140 · pith_short_12: Z4B3TQU75OOB · pith_short_16: Z4B3TQU75OOBAJKI · pith_short_8: Z4B3TQU7

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/Z4B3TQU75OOBAJKI5NX2HWL72B \
  | 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: cf03b9c29feb9c102548eb6fa3d97fd041b962687435fa4d8500edd1d20ecdcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "611cda58694b66018152375921b955e0de1ed6a4747704264b40fee7a209b13b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-02-18T13:47:39Z",
    "title_canon_sha256": "09d7ebc7fcd88097c735bbf5a461800aa4373a87c59f0dd506828b301b298d55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.3140",
    "kind": "arxiv",
    "version": 3
  }
}