Pith Number

pith:3L42K4WD

pith:2017:3L42K4WDTHMLRJ65RDPSNPZDUA

not attested not anchored not stored refs pending

Dimension bound for badly approximable grids

Nicolas de Saxc\'e, Seonhee Lim, Uri Shapira

arxiv:1706.09600 v1 · 2017-06-29 · 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{3L42K4WDTHMLRJ65RDPSNPZDUA}

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	2026-05-18T00:41:14.443239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daf9a572c399d8b8a7dd88df26bf23a00da6938e59197ff9900fc5c095354664

Aliases

arxiv: 1706.09600 · arxiv_version: 1706.09600v1 · doi: 10.48550/arxiv.1706.09600 · pith_short_12: 3L42K4WDTHML · pith_short_16: 3L42K4WDTHMLRJ65 · pith_short_8: 3L42K4WD

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/3L42K4WDTHMLRJ65RDPSNPZDUA \
  | 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: daf9a572c399d8b8a7dd88df26bf23a00da6938e59197ff9900fc5c095354664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "381bbb35268f3f36b2e9137dc4268ebf2e66afc3f826fdb2435d9648e9e10258",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-06-29T07:23:14Z",
    "title_canon_sha256": "e75553211eb6bb7721b21da82a38d25898997b3bd22f30428b4b146ce04550c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09600",
    "kind": "arxiv",
    "version": 1
  }
}