Pith Number

pith:2JM6VXEK

pith:2015:2JM6VXEKNZMH7ZLBXBS25GOKGD

not attested not anchored not stored refs pending

Hitting probabilities of random covering sets in tori and metric spaces

Bing Li, Esa J\"arvenp\"a\"a, Henna Koivusalo, Maarit J\"arvenp\"a\"a, Ville Suomala, Yimin Xiao

arxiv:1510.06630 v3 · 2015-10-22 · math.PR · math.CA · 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{2JM6VXEKNZMH7ZLBXBS25GOKGD}

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	2026-05-18T01:14:17.746052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d259eadc8a6e587fe561b865ae99ca30da01c0b1fb84f6b5ec587d98641cbca7

Aliases

arxiv: 1510.06630 · arxiv_version: 1510.06630v3 · doi: 10.48550/arxiv.1510.06630 · pith_short_12: 2JM6VXEKNZMH · pith_short_16: 2JM6VXEKNZMH7ZLB · pith_short_8: 2JM6VXEK

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/2JM6VXEKNZMH7ZLBXBS25GOKGD \
  | 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: d259eadc8a6e587fe561b865ae99ca30da01c0b1fb84f6b5ec587d98641cbca7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d97760c9e32d88b25152b5a33af0727d35212134fe8a6c1ad113394d37913168",
    "cross_cats_sorted": [
      "math.CA",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-22T14:00:15Z",
    "title_canon_sha256": "13950b28abb3e33bb4fd3f5457097edfc88669791d7f4c9402d98a4e30eb2a71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06630",
    "kind": "arxiv",
    "version": 3
  }
}