Pith Number

pith:N67K65UT

pith:2008:N67K65UTSV4AGSKJXMESHOV2SB

not attested not anchored not stored refs pending

Equidistribution of expanding translates of curves and Dirichlet's theorem on Diophantine approximation

Nimish A. Shah

arxiv:0802.3278 v1 · 2008-02-22 · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N67K65UTSV4AGSKJXMESHOV2SB}

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	2026-05-18T02:16:00.909815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fbeaf76939578034949bb0923baba907a60f9e091483cec0e5638eb683d2d68

Aliases

arxiv: 0802.3278 · arxiv_version: 0802.3278v1 · doi: 10.48550/arxiv.0802.3278 · pith_short_12: N67K65UTSV4A · pith_short_16: N67K65UTSV4AGSKJ · pith_short_8: N67K65UT

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/N67K65UTSV4AGSKJXMESHOV2SB \
  | 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: 6fbeaf76939578034949bb0923baba907a60f9e091483cec0e5638eb683d2d68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "112dad112fcc21534e3804ae5cfc509e91d08b4a10310a2fb8fa46633eae5c2f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-02-22T09:53:16Z",
    "title_canon_sha256": "dda422c9196391133da3866c92b2a8b01d4e0cf211a7c40a75cfc68fb5a93f1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3278",
    "kind": "arxiv",
    "version": 1
  }
}