Pith Number

pith:CRXT4VXB

pith:2014:CRXT4VXB6AP64P4HEWN7Y4MIU5

not attested not anchored not stored refs pending

Random countable iterated function systems with overlaps and applications

Eugen Mihailescu, Mariusz Urbanski

arxiv:1405.2942 v2 · 2014-05-12 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CRXT4VXB6AP64P4HEWN7Y4MIU5}

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	2026-05-18T02:20:47.420081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

146f3e56e1f01fee3f87259bfc7188a762860aa411003e416500fad88ce3a2c5

Aliases

arxiv: 1405.2942 · arxiv_version: 1405.2942v2 · doi: 10.48550/arxiv.1405.2942 · pith_short_12: CRXT4VXB6AP6 · pith_short_16: CRXT4VXB6AP64P4H · pith_short_8: CRXT4VXB

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/CRXT4VXB6AP64P4HEWN7Y4MIU5 \
  | 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: 146f3e56e1f01fee3f87259bfc7188a762860aa411003e416500fad88ce3a2c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b8e146601983fd8612b8e8a09d94d5b5a23146bbb4596fd7f8ba28511d414cb",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-05-12T20:22:38Z",
    "title_canon_sha256": "d8b87966d375e872e634a2b5bf966ea824e1b39ab94d094d797e80e8e825a7ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2942",
    "kind": "arxiv",
    "version": 2
  }
}