Pith Number

pith:BGCADD7G

pith:2016:BGCADD7GSDH6B6VKLVRBHC7F3K

not attested not anchored not stored refs pending

Phase transitions and optimal algorithms in high-dimensional Gaussian mixture clustering

Caterina De Bacco, Cris Moore, Florent Krzakala, Jess Banks, Lenka Zdeborov\'a, Thibault Lesieur

arxiv:1610.02918 v1 · 2016-10-10 · stat.ML · cond-mat.dis-nn · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BGCADD7GSDH6B6VKLVRBHC7F3K}

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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	2026-05-18T00:48:05.435975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0984018fe690cfe0faaa5d62138be5daa862a233af0ded072d622d8cda5fa15a

Aliases

arxiv: 1610.02918 · arxiv_version: 1610.02918v1 · doi: 10.48550/arxiv.1610.02918 · pith_short_12: BGCADD7GSDH6 · pith_short_16: BGCADD7GSDH6B6VK · pith_short_8: BGCADD7G

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/BGCADD7GSDH6B6VKLVRBHC7F3K \
  | 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: 0984018fe690cfe0faaa5d62138be5daa862a233af0ded072d622d8cda5fa15a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ed3cd113900bae47bbcc954c67d93b7c18adf3aad6a71eccfaed1993566b625",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-10-10T13:57:00Z",
    "title_canon_sha256": "edc62d88ee1f33283033da9ade882ec2bde8cb38b4ad182fb8727786094b7c82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02918",
    "kind": "arxiv",
    "version": 1
  }
}