Pith Number

pith:A2B5AW2F

pith:2016:A2B5AW2F4WIBSJ6UALN4KMW7ZX

not attested not anchored not stored refs pending

Secrecy in MIMO Networks with No Eavesdropper CSIT

Pritam Mukherjee, Sennur Ulukus

arxiv:1610.03475 v2 · 2016-10-11 · cs.IT · cs.CR · 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{A2B5AW2F4WIBSJ6UALN4KMW7ZX}

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	2026-05-18T01:02:23.252780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0683d05b45e5901927d402dbc532dfcdf935d2593c500d4f4b1e0836b235ec23

Aliases

arxiv: 1610.03475 · arxiv_version: 1610.03475v2 · doi: 10.48550/arxiv.1610.03475 · pith_short_12: A2B5AW2F4WIB · pith_short_16: A2B5AW2F4WIBSJ6U · pith_short_8: A2B5AW2F

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/A2B5AW2F4WIBSJ6UALN4KMW7ZX \
  | 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: 0683d05b45e5901927d402dbc532dfcdf935d2593c500d4f4b1e0836b235ec23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54b84b079fb2081b9d5e32fdfaf76e828361fa594981656a2fc03744ab88a13f",
    "cross_cats_sorted": [
      "cs.CR",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-10-11T19:46:36Z",
    "title_canon_sha256": "3639799ae91b7c7776a46076aec03452bba5759ccbaf4507bde819f2124aebfa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03475",
    "kind": "arxiv",
    "version": 2
  }
}