Pith Number

pith:NM33BHJT

pith:2015:NM33BHJTIFPVCCD36TWKKIZUZX

not attested not anchored not stored refs pending

A Hausdorff measure version of the Jarn\'ik--Schmidt theorem in Diophantine approximation

David Simmons

arxiv:1509.03885 v3 · 2015-09-13 · 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{NM33BHJTIFPVCCD36TWKKIZUZX}

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	2026-05-18T00:52:58.953217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b37b09d33415f51087bf4eca52334cdc6e986a524b67984babe6fb76b7ec281

Aliases

arxiv: 1509.03885 · arxiv_version: 1509.03885v3 · doi: 10.48550/arxiv.1509.03885 · pith_short_12: NM33BHJTIFPV · pith_short_16: NM33BHJTIFPVCCD3 · pith_short_8: NM33BHJT

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/NM33BHJTIFPVCCD36TWKKIZUZX \
  | 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: 6b37b09d33415f51087bf4eca52334cdc6e986a524b67984babe6fb76b7ec281

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0ee49d837b368bbcea709648b214d7edc34e2475c7683c2de5675f2c5016142",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-13T19:30:29Z",
    "title_canon_sha256": "6539f71ec0158bd349dc5d33a02ae2b861f7083e065bf1bff96bb5349f40f90c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03885",
    "kind": "arxiv",
    "version": 3
  }
}