Pith Number

pith:QAG5NSBP

pith:2017:QAG5NSBPM2GCWGPCUSQY6XDWHW

not attested not anchored not stored refs pending

Hausdorff dimension of planar self-affine sets and measures

Ariel Rapaport, Bal\'azs B\'ar\'any, Michael Hochman

arxiv:1712.07353 v1 · 2017-12-20 · math.MG · 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{QAG5NSBPM2GCWGPCUSQY6XDWHW}

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	2026-05-18T00:27:34.690765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

800dd6c82f668c2b19e2a4a18f5c763d909e52045dbc19233e9fbc1749ac8404

Aliases

arxiv: 1712.07353 · arxiv_version: 1712.07353v1 · doi: 10.48550/arxiv.1712.07353 · pith_short_12: QAG5NSBPM2GC · pith_short_16: QAG5NSBPM2GCWGPC · pith_short_8: QAG5NSBP

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/QAG5NSBPM2GCWGPCUSQY6XDWHW \
  | 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: 800dd6c82f668c2b19e2a4a18f5c763d909e52045dbc19233e9fbc1749ac8404

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ad30389ffab25b8b32b109201107e3e74996413382fd18bab776fa66fa1e68b",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-12-20T07:52:27Z",
    "title_canon_sha256": "0f834b8db25bc4ca74057d0b61bd24d5459ff29457f7d6b420ceff834207aa28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07353",
    "kind": "arxiv",
    "version": 1
  }
}