Pith Number

pith:H3NQDPQX

pith:2015:H3NQDPQXTA2HZHHJ4B2HAVCCMO

not attested not anchored not stored refs pending

Phase Transitions for High Dimensional Clustering and Related Problems

Jiashun Jin, Wanjie Wang, Zheng Tracy Ke

arxiv:1502.06952 v4 · 2015-02-24 · math.ST · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3NQDPQXTA2HZHHJ4B2HAVCCMO}

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	2026-05-18T01:12:43.500940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3edb01be1798347c9ce9e07470544263b44f5f416ec66fb55f8e94c975ae7037

Aliases

arxiv: 1502.06952 · arxiv_version: 1502.06952v4 · doi: 10.48550/arxiv.1502.06952 · pith_short_12: H3NQDPQXTA2H · pith_short_16: H3NQDPQXTA2HZHHJ · pith_short_8: H3NQDPQX

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/H3NQDPQXTA2HZHHJ4B2HAVCCMO \
  | 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: 3edb01be1798347c9ce9e07470544263b44f5f416ec66fb55f8e94c975ae7037

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ead9a19aa5faa291c189bf4eb61f93e808f28564af3f12f71eeff58d2d34ae5f",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-02-24T20:58:44Z",
    "title_canon_sha256": "1d6d695832ba464f8f437057c1a9d67308fa1d5c08d9b4d7c647209299752f95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06952",
    "kind": "arxiv",
    "version": 4
  }
}