Pith Number

pith:Z77NXZHE

pith:2015:Z77NXZHEOJCK6ZTXGQ2GDMDY53

not attested not anchored not stored refs pending

An Efficient Inexact Newton-CG Algorithm for the Smallest Enclosing Ball Problem of Large Dimensions

Feng Ye, Hongwei Liu, Rui Diao, Ya-Feng Liu

arxiv:1509.06584 v1 · 2015-09-22 · math.OC · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z77NXZHEOJCK6ZTXGQ2GDMDY53}

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	2026-05-18T01:32:19.841212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cffedbe4e47244af6677343461b078eeefa64350876514690a07299e8af0e4bc

Aliases

arxiv: 1509.06584 · arxiv_version: 1509.06584v1 · doi: 10.48550/arxiv.1509.06584 · pith_short_12: Z77NXZHEOJCK · pith_short_16: Z77NXZHEOJCK6ZTX · pith_short_8: Z77NXZHE

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/Z77NXZHEOJCK6ZTXGQ2GDMDY53 \
  | 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: cffedbe4e47244af6677343461b078eeefa64350876514690a07299e8af0e4bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa1e7667a8f2b85572b8b800feba7792dfaedf4ff215774df9851224ccec80ef",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-22T13:06:07Z",
    "title_canon_sha256": "4ad20ff54669964f09d1f7c68e2b697c6d02311404ec5c0173793d87af1f46b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.06584",
    "kind": "arxiv",
    "version": 1
  }
}