Pith Number

pith:KYD22VDB

pith:2016:KYD22VDBHWZ3CDUBSQYHFF6EB5

not attested not anchored not stored refs pending

The Mutual Information in Random Linear Estimation

Florent Krzakala, Jean Barbier, Mohamad Dia, Nicolas Macris

arxiv:1607.02335 v2 · 2016-07-08 · cs.IT · 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{KYD22VDBHWZ3CDUBSQYHFF6EB5}

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	2026-05-18T00:48:05.562240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5607ad54613db3b10e8194307297c40f5956491020d791dd2cc92c59e45c4269

Aliases

arxiv: 1607.02335 · arxiv_version: 1607.02335v2 · doi: 10.48550/arxiv.1607.02335 · pith_short_12: KYD22VDBHWZ3 · pith_short_16: KYD22VDBHWZ3CDUB · pith_short_8: KYD22VDB

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/KYD22VDBHWZ3CDUBSQYHFF6EB5 \
  | 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: 5607ad54613db3b10e8194307297c40f5956491020d791dd2cc92c59e45c4269

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "631d99eb4854456df5d4c24717d46b4bbd17e22a4e28c57e3ac6d449a99db802",
    "cross_cats_sorted": [
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-07-08T12:20:26Z",
    "title_canon_sha256": "1d3574b9909d36ce5b91508cd71fd165a3b756307c9630d79d3669ae3ad29801"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02335",
    "kind": "arxiv",
    "version": 2
  }
}