Pith Number

pith:IGBQ7FSQ

pith:2013:IGBQ7FSQV3JHET4UHYCEDN2NZ2

not attested not anchored not stored refs pending

Non-planarity and metric Diophantine approximation for systems of linear forms

Dmitry Kleinbock, Gregory Margulis, Victor Beresnevich

arxiv:1302.6560 v2 · 2013-02-26 · 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{IGBQ7FSQV3JHET4UHYCEDN2NZ2}

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	2026-05-18T03:10:11.781143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41830f9650aed2724f943e0441b74dce91da1ec74fdbaf150b56718a422ee3b6

Aliases

arxiv: 1302.6560 · arxiv_version: 1302.6560v2 · doi: 10.48550/arxiv.1302.6560 · pith_short_12: IGBQ7FSQV3JH · pith_short_16: IGBQ7FSQV3JHET4U · pith_short_8: IGBQ7FSQ

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/IGBQ7FSQV3JHET4UHYCEDN2NZ2 \
  | 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: 41830f9650aed2724f943e0441b74dce91da1ec74fdbaf150b56718a422ee3b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "244cc6bcad72ee26b53c551b7f3c38fdade7dbe1d8c319be6027768fce2ff488",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-26T20:01:08Z",
    "title_canon_sha256": "f016bf5667ad98b621d3627d269145d8060b0035909ca30d687e7b769e5d3292"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6560",
    "kind": "arxiv",
    "version": 2
  }
}