Pith Number

pith:KO3X5LB7

pith:2021:KO3X5LB7G5YKDHEUWRDJ5FQKVB

not attested not anchored not stored refs pending

Dimension estimates for badly approximable affine forms

Seonhee Lim, Taehyeong Kim, Wooyeon Kim

arxiv:2111.15410 v2 · 2021-11-30 · math.DS · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KO3X5LB7G5YKDHEUWRDJ5FQKVB}

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	2026-07-05T04:57:43.911271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53b77eac3f3770a19c94b4469e960aa844e8cb22438b0baf1b674e61d6077ac4

Aliases

arxiv: 2111.15410 · arxiv_version: 2111.15410v2 · doi: 10.48550/arxiv.2111.15410 · pith_short_12: KO3X5LB7G5YK · pith_short_16: KO3X5LB7G5YKDHEU · pith_short_8: KO3X5LB7

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/KO3X5LB7G5YKDHEUWRDJ5FQKVB \
  | 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: 53b77eac3f3770a19c94b4469e960aa844e8cb22438b0baf1b674e61d6077ac4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9772be5ac827c0bbfc6f2b4096cec72673d8562a513cbe55db04bf45ccc5362a",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-11-30T14:03:57Z",
    "title_canon_sha256": "8415410fae69fcc91537981e392467814e5d9aa2ad9cfd430f1ed36cc339052c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.15410",
    "kind": "arxiv",
    "version": 2
  }
}