Pith Number

pith:EPISVXKH

pith:2026:EPISVXKHEE2GSF4XIC6DWP6AKW

not attested not anchored not stored refs pending

Spectral Dual Fitting for $k$-Means

Aditya Anand, Amatya Sharma, Ernest van Wijland, Euiwoong Lee, Fabrizio Grandoni, Moses Charikar, Ruiquan Gao, Vincent Cohen-Addad

arxiv:2607.14654 v1 · 2026-07-16 · cs.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{EPISVXKHEE2GSF4XIC6DWP6AKW}

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	2026-07-17T01:21:23.236337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23d12add47213469179740bc3b3fc0558a164506c8bc93e34ff1c52ab9d3b027

Aliases

arxiv: 2607.14654 · arxiv_version: 2607.14654v1 · doi: 10.48550/arxiv.2607.14654 · pith_short_12: EPISVXKHEE2G · pith_short_16: EPISVXKHEE2GSF4X · pith_short_8: EPISVXKH

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/EPISVXKHEE2GSF4XIC6DWP6AKW \
  | 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: 23d12add47213469179740bc3b3fc0558a164506c8bc93e34ff1c52ab9d3b027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3009537f065eac54e6124210661041e1f6da8585093eee2083ebe17eaa160760",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-16T07:21:14Z",
    "title_canon_sha256": "0cdd0eb304a95ac3a42abbaa4ade9645e3b1a5d13ef52c156e1a92ff42994249"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14654",
    "kind": "arxiv",
    "version": 1
  }
}