Pith Number

pith:TY4MX4J5

pith:2019:TY4MX4J56TJRSEUZZA6VIIWJSE

not attested not anchored not stored refs pending

Hausdorff Dimension of Planar Self-Affine Sets and Measures with Overlaps

Ariel Rapaport, Michael Hochman

arxiv:1904.09812 v2 · 2019-04-22 · math.DS · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TY4MX4J56TJRSEUZZA6VIIWJSE}

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	2026-05-17T23:47:06.973359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e38cbf13df4d3191299c83d5422c9910527cfb6b82dc19ab5eb85a5191eb67b

Aliases

arxiv: 1904.09812 · arxiv_version: 1904.09812v2 · doi: 10.48550/arxiv.1904.09812 · pith_short_12: TY4MX4J56TJR · pith_short_16: TY4MX4J56TJRSEUZ · pith_short_8: TY4MX4J5

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/TY4MX4J56TJRSEUZZA6VIIWJSE \
  | 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: 9e38cbf13df4d3191299c83d5422c9910527cfb6b82dc19ab5eb85a5191eb67b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72502e353af381edf313c467c1d34cf623c2ca85891e9a06b5f68e24acede497",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-04-22T12:09:43Z",
    "title_canon_sha256": "f358a803dffdfeccee8bbee2f5762efb7fe505154d4c9143ad391fd6c44ba78b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.09812",
    "kind": "arxiv",
    "version": 2
  }
}