Pith Number

pith:U4QRD4D4

pith:2013:U4QRD4D42DTY7V63YASJS6TNSP

not attested not anchored not stored refs pending

A note on Diophatine approximation in $\rm{SL}_2(\mathbb{R})$

Nikolay Moshchevitin

arxiv:1304.4842 v1 · 2013-04-17 · math.NT · 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{U4QRD4D42DTY7V63YASJS6TNSP}

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	2026-05-18T03:27:43.512461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a72111f07cd0e78fd7dbc024997a6d93c0c2aa61b4ad40c3c0cf228433bade2b

Aliases

arxiv: 1304.4842 · arxiv_version: 1304.4842v1 · doi: 10.48550/arxiv.1304.4842 · pith_short_12: U4QRD4D42DTY · pith_short_16: U4QRD4D42DTY7V63 · pith_short_8: U4QRD4D4

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/U4QRD4D42DTY7V63YASJS6TNSP \
  | 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: a72111f07cd0e78fd7dbc024997a6d93c0c2aa61b4ad40c3c0cf228433bade2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7c3e93c3e721721bb9dd246b0daa8c2dacfec299fbcfa7ead7524c1131da8e7",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-17T14:40:05Z",
    "title_canon_sha256": "25f907157f8efaf720941f1239115c215b2d6733dde0e9b05d0cd6c2531dbdc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4842",
    "kind": "arxiv",
    "version": 1
  }
}