Pith Number

pith:XVOGUTRK

pith:2018:XVOGUTRKDIYA4KGMHTZVG6Q25Z

not attested not anchored not stored refs pending

The set of non-uniquely ergodic d-IETs has Hausdorff codimension 1/2

Howard Masur, Jon Chaika

arxiv:1801.00770 v1 · 2018-01-02 · 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{XVOGUTRKDIYA4KGMHTZVG6Q25Z}

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	2026-05-18T00:26:52.388741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd5c6a4e2a1a300e28cc3cf3537a1aee7ae42dfec526510a5ef9e63ee18c406a

Aliases

arxiv: 1801.00770 · arxiv_version: 1801.00770v1 · doi: 10.48550/arxiv.1801.00770 · pith_short_12: XVOGUTRKDIYA · pith_short_16: XVOGUTRKDIYA4KGM · pith_short_8: XVOGUTRK

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/XVOGUTRKDIYA4KGMHTZVG6Q25Z \
  | 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: bd5c6a4e2a1a300e28cc3cf3537a1aee7ae42dfec526510a5ef9e63ee18c406a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5760e5297c7d38c8e9dcb5d5f982e81bf4beaec00110293d268ad9230e05e8ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-01-02T18:51:58Z",
    "title_canon_sha256": "cec06786de825daed1fede23c64429b921ef960d4ef74248eac7d72e266be55e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00770",
    "kind": "arxiv",
    "version": 1
  }
}