Pith Number

pith:UW5AE6HO

pith:2022:UW5AE6HOI33YCUIPFNE6YIQLXZ

not attested not anchored not stored refs pending

On microsets, Assouad dimension and lower dimension of random fractals, and Furstenberg's homogeneity

Yiftach Dayan

arxiv:2201.02059 v1 · 2022-01-06 · math.DS · math.MG · 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{UW5AE6HOI33YCUIPFNE6YIQLXZ}

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.

Cited by

1 paper in Pith

Walk dimension and vanishing curve modulus in metric measure spaces

Receipt and verification

First computed	2026-07-05T03:46:29.475979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5ba0278ee46f781510f2b49ec220bbe5091218d4265fa364121d0f9b2b768ec

Aliases

arxiv: 2201.02059 · arxiv_version: 2201.02059v1 · doi: 10.48550/arxiv.2201.02059 · pith_short_12: UW5AE6HOI33Y · pith_short_16: UW5AE6HOI33YCUIP · pith_short_8: UW5AE6HO

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/UW5AE6HOI33YCUIPFNE6YIQLXZ \
  | 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: a5ba0278ee46f781510f2b49ec220bbe5091218d4265fa364121d0f9b2b768ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8b66784c8e7c71e1cb80caf8efa041a1726f73be79197a20ef585921d8a06b5",
    "cross_cats_sorted": [
      "math.MG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2022-01-06T13:50:40Z",
    "title_canon_sha256": "d711086f9d854eb721f2eec257b369ad9b005a4bfba0f9d566ccf2a85d084679"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.02059",
    "kind": "arxiv",
    "version": 1
  }
}