Pith Number

pith:WOSWFGDX

pith:2016:WOSWFGDXDUYNIF2AZ23U6A7YKA

not attested not anchored not stored refs pending

Diophantine approximation in Kleinian groups: singular, extremal, and bad limit points

Anish Ghosh, David Simmons, Sanju Velani, Victor Beresnevich

arxiv:1610.05964 v2 · 2016-10-19 · 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{WOSWFGDXDUYNIF2AZ23U6A7YKA}

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	2026-05-18T00:19:42.625937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3a56298771d30d41740ceb74f03f85025c784afde0d52cf32c75d58957d2b0e

Aliases

arxiv: 1610.05964 · arxiv_version: 1610.05964v2 · doi: 10.48550/arxiv.1610.05964 · pith_short_12: WOSWFGDXDUYN · pith_short_16: WOSWFGDXDUYNIF2A · pith_short_8: WOSWFGDX

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/WOSWFGDXDUYNIF2AZ23U6A7YKA \
  | 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: b3a56298771d30d41740ceb74f03f85025c784afde0d52cf32c75d58957d2b0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec5f34972b549fc4c943233e13d364cd610994d6ed96c8cc4200b44fba523108",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-19T11:28:11Z",
    "title_canon_sha256": "071fd86c2447b14900eb2726c27fc0405fea6235cdc46019fd9ea5b4cd231e41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05964",
    "kind": "arxiv",
    "version": 2
  }
}