Pith Number

pith:B6HPHU4X

pith:2012:B6HPHU4XDS6NQVPTQZA2SAF6TF

not attested not anchored not stored refs pending

Diophantine approximation with restricted numerators and denominators on semisimple groups

Alexander Gorodnik, Shirali Kadyrov

arxiv:1205.0416 v2 · 2012-05-02 · 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{B6HPHU4XDS6NQVPTQZA2SAF6TF}

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	2026-05-18T02:38:46.409676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f8ef3d3971cbcd855f38641a900be99488967b4770ed10364a66ef3d00b017c

Aliases

arxiv: 1205.0416 · arxiv_version: 1205.0416v2 · doi: 10.48550/arxiv.1205.0416 · pith_short_12: B6HPHU4XDS6N · pith_short_16: B6HPHU4XDS6NQVPT · pith_short_8: B6HPHU4X

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/B6HPHU4XDS6NQVPTQZA2SAF6TF \
  | 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: 0f8ef3d3971cbcd855f38641a900be99488967b4770ed10364a66ef3d00b017c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76c079fa0fa233c92cc48c9505b6e3c0ea12c6c8795450e7a4fd63ecb1a16eda",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-02T13:12:32Z",
    "title_canon_sha256": "17ee553cf6a7a1161ff824a43905561f437cf5a5bbf434f0583342f0e0381647"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0416",
    "kind": "arxiv",
    "version": 2
  }
}