Pith Number

pith:BXZYSX2Y

pith:2015:BXZYSX2YVN2UK7T2GBD6XWPI52

not attested not anchored not stored refs pending

The covering radius of randomly distributed points on a manifold

A. Reznikov, E. B. Saff

arxiv:1504.03029 v1 · 2015-04-12 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BXZYSX2YVN2UK7T2GBD6XWPI52}

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	2026-05-18T02:18:59.376773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0df3895f58ab75457e7a3047ebd9e8ee8dd1154d4a9802eda5b1d0cd2414aca9

Aliases

arxiv: 1504.03029 · arxiv_version: 1504.03029v1 · doi: 10.48550/arxiv.1504.03029 · pith_short_12: BXZYSX2YVN2U · pith_short_16: BXZYSX2YVN2UK7T2 · pith_short_8: BXZYSX2Y

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/BXZYSX2YVN2UK7T2GBD6XWPI52 \
  | 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: 0df3895f58ab75457e7a3047ebd9e8ee8dd1154d4a9802eda5b1d0cd2414aca9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e96e0f03024dd3e716a78bcca3c118619250c6b959b90c30d695466e2377823",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-12T22:18:24Z",
    "title_canon_sha256": "8d81c73b67f47a01cfc5180a885d021605a243046575689d692c0e379f4cc09c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03029",
    "kind": "arxiv",
    "version": 1
  }
}