Pith Number

pith:PYZ6X4P4

pith:2020:PYZ6X4P4DBVYDBESMNLYWCFXD7

not attested not anchored not stored refs pending

All-or-nothing statistical and computational phase transitions in sparse spiked matrix estimation

Cynthia Rush, Jean Barbier, Nicolas Macris

arxiv:2006.07971 v2 · 2020-06-14 · cs.IT · cond-mat.dis-nn · cs.LG · math.IT · 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{PYZ6X4P4DBVYDBESMNLYWCFXD7}

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

The Overlap Gap Property in Principal Submatrix Recovery

Receipt and verification

First computed	2026-07-05T01:47:44.244929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e33ebf1fc186b81849263578b08b71fd839637db17e87ce42545584f2d39653

Aliases

arxiv: 2006.07971 · arxiv_version: 2006.07971v2 · doi: 10.48550/arxiv.2006.07971 · pith_short_12: PYZ6X4P4DBVY · pith_short_16: PYZ6X4P4DBVYDBES · pith_short_8: PYZ6X4P4

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/PYZ6X4P4DBVYDBESMNLYWCFXD7 \
  | 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: 7e33ebf1fc186b81849263578b08b71fd839637db17e87ce42545584f2d39653

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "414d80b7e4a1b067efa504e2c95ea86a20cd7b10aa00b15b9eefd68cd93d3f1b",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.LG",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2020-06-14T18:38:34Z",
    "title_canon_sha256": "97b14f87148c995995b37480afef9137f199ecc844ba65431c7924fc91316fd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.07971",
    "kind": "arxiv",
    "version": 2
  }
}