Pith Number

pith:KE7Q4A2S

pith:2014:KE7Q4A2S7L23NHQL3GULMR3FWH

not attested not anchored not stored refs pending

The Hausdorff Dimension of Non-Uniquely Ergodic directions in $\mathcal{H}(2)$ is almost everywhere $1/2$

Jayadev S. Athreya, Jon Chaika

arxiv:1404.4657 v2 · 2014-04-17 · 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{KE7Q4A2S7L23NHQL3GULMR3FWH}

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	2026-05-18T01:22:24.087418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

513f0e0352faf5b69e0bd9a8b64765b1d7abbc533a1520e18cd16dbc1c61d066

Aliases

arxiv: 1404.4657 · arxiv_version: 1404.4657v2 · doi: 10.48550/arxiv.1404.4657 · pith_short_12: KE7Q4A2S7L23 · pith_short_16: KE7Q4A2S7L23NHQL · pith_short_8: KE7Q4A2S

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/KE7Q4A2S7L23NHQL3GULMR3FWH \
  | 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: 513f0e0352faf5b69e0bd9a8b64765b1d7abbc533a1520e18cd16dbc1c61d066

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8406da2c9d1c192c3b78e2645a40538920b0bd6ee7d50298b90af96559c63672",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-04-17T21:36:39Z",
    "title_canon_sha256": "0c63699dd5845fba19aeb40b0cfa32a18264b1ff8727b20d73f6a9002dc18bf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4657",
    "kind": "arxiv",
    "version": 2
  }
}