Pith Number

pith:O45O7I3H

pith:2016:O45O7I3HX4CDMRT3WT6UNEVANM

not attested not anchored not stored refs pending

Hausdorff dimension of the set approximated by irrational rotations

Baowei Wang, Dong Han Kim, Micha{\l} Rams

arxiv:1609.08724 v2 · 2016-09-28 · math.NT · 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{O45O7I3HX4CDMRT3WT6UNEVANM}

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	2026-05-18T00:23:01.630777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

773aefa367bf0436467bb4fd4692a06b27649b8ac749e1a7ee3cac93f0416c9d

Aliases

arxiv: 1609.08724 · arxiv_version: 1609.08724v2 · doi: 10.48550/arxiv.1609.08724 · pith_short_12: O45O7I3HX4CD · pith_short_16: O45O7I3HX4CDMRT3 · pith_short_8: O45O7I3H

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/O45O7I3HX4CDMRT3WT6UNEVANM \
  | 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: 773aefa367bf0436467bb4fd4692a06b27649b8ac749e1a7ee3cac93f0416c9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abc1ae8f2d6ea0b4dedb261450794add6f51588f6212fcf02d3dea0dfd2b36cc",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-28T01:49:54Z",
    "title_canon_sha256": "2673d7bc9c5902f11a2ccb780a62a5e950bfc4cfcddf27b38062f68fa255ca15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08724",
    "kind": "arxiv",
    "version": 2
  }
}