Pith Number

pith:LRLHOMBK

pith:2024:LRLHOMBKCKXMFEAHZ2LFIWRFGC

not attested not anchored not stored refs pending

On The Heine-Borel Property and Minimum Enclosing Balls

Auguste H. Gezalyan, Carmen Isabel Day, David M. Mount, Hridhaan Banerjee, Lucy Wang, Megan Hunleth, Nithin Parepally, Olya Golovatskaia, Sarah Hwang

arxiv:2412.17138 v2 · 2024-12-22 · cs.CG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRLHOMBKCKXMFEAHZ2LFIWRFGC}

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.

Cited by

1 paper in Pith

Hilbert geometry of the symmetric positive-definite bicone: Application to the geometry of the extended Gaussian family

Receipt and verification

First computed	2026-07-05T10:23:27.880944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c5677302a12aec29007ce96545a2530b9149803ca8fb6c7959cdce21a6ccf46

Aliases

arxiv: 2412.17138 · arxiv_version: 2412.17138v2 · doi: 10.48550/arxiv.2412.17138 · pith_short_12: LRLHOMBKCKXM · pith_short_16: LRLHOMBKCKXMFEAH · pith_short_8: LRLHOMBK

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/LRLHOMBKCKXMFEAHZ2LFIWRFGC \
  | 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: 5c5677302a12aec29007ce96545a2530b9149803ca8fb6c7959cdce21a6ccf46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5e0e250aa6c4111a9863f4b53792e50a9ade64104ff108a2e99733428c7998f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2024-12-22T19:10:12Z",
    "title_canon_sha256": "dfcb2552e4a3953e7bf7a1f2a588b50e580fe1ce0b94953c8f8f4c97800dada1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.17138",
    "kind": "arxiv",
    "version": 2
  }
}