Pith Number

pith:AMMZ73HL

pith:2013:AMMZ73HL3RNO4A7AIWZUAUNUF5

not attested not anchored not stored refs pending

On the Distribution of MIMO Mutual Information: An In-Depth Painlev\'{e} Based Characterization

Matthew R. McKay, Shang Li, Yang Chen

arxiv:1301.5033 v1 · 2013-01-21 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AMMZ73HL3RNO4A7AIWZUAUNUF5}

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	2026-05-18T01:22:08.938359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03199fecebdc5aee03e045b34051b42f48afe9aeaf6d64046e4942c6c7eb59c4

Aliases

arxiv: 1301.5033 · arxiv_version: 1301.5033v1 · doi: 10.48550/arxiv.1301.5033 · pith_short_12: AMMZ73HL3RNO · pith_short_16: AMMZ73HL3RNO4A7A · pith_short_8: AMMZ73HL

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/AMMZ73HL3RNO4A7AIWZUAUNUF5 \
  | 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: 03199fecebdc5aee03e045b34051b42f48afe9aeaf6d64046e4942c6c7eb59c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fdf32ad1fa565fd60831ea1766277cc045589122fddc8736bae07a482d45f8e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-01-21T23:02:04Z",
    "title_canon_sha256": "2e61f8752e533bee14b051e2227b588a039388e5bd67741ab2bb74ba7f7d2198"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5033",
    "kind": "arxiv",
    "version": 1
  }
}