Pith Number

pith:2T2WMNYQ

pith:2016:2T2WMNYQ5U4SIBIDM462BK3KXE

not attested not anchored not stored refs pending

Fundamental limits of symmetric low-rank matrix estimation

L\'eo Miolane, Marc Lelarge

arxiv:1611.03888 v3 · 2016-11-11 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2T2WMNYQ5U4SIBIDM462BK3KXE}

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.

Cited by

1 paper in Pith

Understanding Phase Transitions via Mutual Information and MMSE

Receipt and verification

First computed	2026-05-18T00:47:36.925271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4f5663710ed39240503673da0ab6ab90817d5017fbf38cf4b38faa54349bf0a

Aliases

arxiv: 1611.03888 · arxiv_version: 1611.03888v3 · doi: 10.48550/arxiv.1611.03888 · pith_short_12: 2T2WMNYQ5U4S · pith_short_16: 2T2WMNYQ5U4SIBID · pith_short_8: 2T2WMNYQ

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/2T2WMNYQ5U4SIBIDM462BK3KXE \
  | 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: d4f5663710ed39240503673da0ab6ab90817d5017fbf38cf4b38faa54349bf0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b0816221fd01ad27661b9146e558b294e68b15a8de167838056e28143ae981f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-11-11T21:54:01Z",
    "title_canon_sha256": "d31c5ba1993ecdffe27afe674d471a9e04390f766f9697470185e039773a3c0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03888",
    "kind": "arxiv",
    "version": 3
  }
}