Pith Number

pith:HF2BOD4I

pith:2015:HF2BOD4IG3HRUEKV7R3JFOWCF2

not attested not anchored not stored refs pending

Random affine code tree fractals: Hausdorff and affinity dimensions and pressure

Esa J\"arvenp\"a\"a, Maarit J\"arvenp\"a\"a, Meng Wu, Wen Wu

arxiv:1510.02827 v1 · 2015-10-09 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HF2BOD4IG3HRUEKV7R3JFOWCF2}

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	2026-05-18T01:10:24.861114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3974170f8836cf1a1155fc7692bac22ea793e787645b305c8668cda6be1bad50

Aliases

arxiv: 1510.02827 · arxiv_version: 1510.02827v1 · doi: 10.48550/arxiv.1510.02827 · pith_short_12: HF2BOD4IG3HR · pith_short_16: HF2BOD4IG3HRUEKV · pith_short_8: HF2BOD4I

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/HF2BOD4IG3HRUEKV7R3JFOWCF2 \
  | 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: 3974170f8836cf1a1155fc7692bac22ea793e787645b305c8668cda6be1bad50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "585bca439dc5047bff34d08e7be908ba69ae2bef50604918576cf98e605c1109",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-09T21:30:14Z",
    "title_canon_sha256": "7837c06e01d235f57f435ef4153dc65632a0ec439245d732de98df93ce7ba090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02827",
    "kind": "arxiv",
    "version": 1
  }
}