Pith Number

pith:TQO3WWSF

pith:2017:TQO3WWSFNZOONIREWS22GLKHZK

not attested not anchored not stored refs pending

Constrained Low-rank Matrix Estimation: Phase Transitions, Approximate Message Passing and Applications

Florent Krzakala, Lenka Zdeborov\'a, Thibault Lesieur

arxiv:1701.00858 v3 · 2017-01-03 · math.ST · cond-mat.stat-mech · cs.IT · math.IT · 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{TQO3WWSFNZOONIREWS22GLKHZK}

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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.

Cited by

1 paper in Pith

Understanding Phase Transitions via Mutual Information and MMSE

Receipt and verification

First computed	2026-05-18T00:36:43.619553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c1dbb5a456e5ce6a224b4b5a32d47ca90b652e9d66425eaeae6837712e2608f

Aliases

arxiv: 1701.00858 · arxiv_version: 1701.00858v3 · doi: 10.48550/arxiv.1701.00858 · pith_short_12: TQO3WWSFNZOO · pith_short_16: TQO3WWSFNZOONIRE · pith_short_8: TQO3WWSF

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/TQO3WWSFNZOONIREWS22GLKHZK \
  | 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: 9c1dbb5a456e5ce6a224b4b5a32d47ca90b652e9d66425eaeae6837712e2608f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "182cdb83d8c0a893a9d92594bfc15ebb8e63eeaf6db0fb37592d9b25ec0246ad",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.IT",
      "math.IT",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2017-01-03T22:50:47Z",
    "title_canon_sha256": "10237f561b9a853b87973f6073a1bd8fcdd62064630569ebe32fab7193f85a5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00858",
    "kind": "arxiv",
    "version": 3
  }
}