Pith Number

pith:6R6M7DXN

pith:2016:6R6M7DXNWFIWOPXAQ745WZJ5W3

not attested not anchored not stored refs pending

Badly approximable points on self-affine sponges and the lower Assouad dimension

David Simmons, Lior Fishman, Mariusz Urba\'nski, Tushar Das

arxiv:1608.03225 v2 · 2016-08-10 · 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{6R6M7DXNWFIWOPXAQ745WZJ5W3}

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	2026-05-17T23:43:18.778045Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f47ccf8eedb151673ee087f9db653db6cb9dbfe142e07c566e6b67571938f279

Aliases

arxiv: 1608.03225 · arxiv_version: 1608.03225v2 · doi: 10.48550/arxiv.1608.03225 · pith_short_12: 6R6M7DXNWFIW · pith_short_16: 6R6M7DXNWFIWOPXA · pith_short_8: 6R6M7DXN

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/6R6M7DXNWFIWOPXAQ745WZJ5W3 \
  | 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: f47ccf8eedb151673ee087f9db653db6cb9dbfe142e07c566e6b67571938f279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a3d3cc603862ac6672dced23d6a7d71ac5a690ffc61e7e617ceef9868847e3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-08-10T16:11:41Z",
    "title_canon_sha256": "1c7d1fff8182936263940deea4b9ed25372b8a3e4cee66f021d2dbfeeae4cf0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03225",
    "kind": "arxiv",
    "version": 2
  }
}