Pith Number

pith:77TEBML5

pith:2018:77TEBML5RWCRYMNGETDHZZJIXM

not attested not anchored not stored refs pending

Is a Finite Intersection of Balls Covered by a Finite Union of Balls in Euclidean Spaces ?

Vincent Runge

arxiv:1804.06699 v2 · 2018-04-18 · stat.ME

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{77TEBML5RWCRYMNGETDHZZJIXM}

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	2026-05-18T00:04:58.873385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffe640b17d8d851c31a624c67ce528bb11c7625d5ab993ecfeb0070fe6f984b9

Aliases

arxiv: 1804.06699 · arxiv_version: 1804.06699v2 · doi: 10.48550/arxiv.1804.06699 · pith_short_12: 77TEBML5RWCR · pith_short_16: 77TEBML5RWCRYMNG · pith_short_8: 77TEBML5

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/77TEBML5RWCRYMNGETDHZZJIXM \
  | 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: ffe640b17d8d851c31a624c67ce528bb11c7625d5ab993ecfeb0070fe6f984b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10eb37cea72dc73f180552510e8af6acb9ebbf0a1834f722221db96d892d4dc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2018-04-18T13:08:07Z",
    "title_canon_sha256": "caa17f044beea9aa86e2c450fdbd73cbf694eaa5f8845337628e8ad675ff6a1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06699",
    "kind": "arxiv",
    "version": 2
  }
}