Pith Number

pith:X37F5F2O

pith:2019:X37F5F2OBLYOI3RCGYGXC6BBRZ

not attested not anchored not stored refs pending

Higher dimensional shrinking target problem in beta dynamical systems

Mumtaz Hussain, Weiliang Wang

arxiv:1908.02098 v2 · 2019-08-06 · 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{X37F5F2OBLYOI3RCGYGXC6BBRZ}

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	2026-07-05T03:59:36.473655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

befe5e974e0af0e46e22360d7178218e696df2bc37278e5aca26f5d489a6feb4

Aliases

arxiv: 1908.02098 · arxiv_version: 1908.02098v2 · doi: 10.48550/arxiv.1908.02098 · pith_short_12: X37F5F2OBLYO · pith_short_16: X37F5F2OBLYOI3RC · pith_short_8: X37F5F2O

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/X37F5F2OBLYOI3RCGYGXC6BBRZ \
  | 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: befe5e974e0af0e46e22360d7178218e696df2bc37278e5aca26f5d489a6feb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c6c994eed28801da7d65d4d403fe91a7f5d7bb75da9ffd2885970b2e043a7ad",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-06T12:07:16Z",
    "title_canon_sha256": "613b8a398e607e553b4a708c87966f4ee3a315830d8e38753da719c1c81edf5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02098",
    "kind": "arxiv",
    "version": 2
  }
}