Pith Number

pith:AS5R22T2

pith:2016:AS5R22T26Y2T5VNXOJSAAKCDTQ

not attested not anchored not stored refs pending

Mutual information for symmetric rank-one matrix estimation: A proof of the replica formula

Florent Krzakala, Jean Barbier, Lenka Zdeborova, Mohamad Dia, Nicolas Macris, Thibault Lesieur

arxiv:1606.04142 v1 · 2016-06-13 · cs.IT · cond-mat.dis-nn · cs.LG · math-ph · math.IT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AS5R22T26Y2T5VNXOJSAAKCDTQ}

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	2026-05-18T00:48:05.598408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04bb1d6a7af6353ed5b772640028439c01c8df65881edbbe3dd2020ecd15a16d

Aliases

arxiv: 1606.04142 · arxiv_version: 1606.04142v1 · doi: 10.48550/arxiv.1606.04142 · pith_short_12: AS5R22T26Y2T · pith_short_16: AS5R22T26Y2T5VNX · pith_short_8: AS5R22T2

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/AS5R22T26Y2T5VNXOJSAAKCDTQ \
  | 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: 04bb1d6a7af6353ed5b772640028439c01c8df65881edbbe3dd2020ecd15a16d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8952b6c654874c1cda6e598de0d7c8498c64ea8fdba7a3404e480ed1f363c3d",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.LG",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-06-13T21:17:15Z",
    "title_canon_sha256": "45c1b826082f8cf7da6cd1c8c351b27fa07b3e3bbe9d9ccd50ff7b18bfc08e99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04142",
    "kind": "arxiv",
    "version": 1
  }
}