Pith Number

pith:LWTL4YXG

pith:2012:LWTL4YXGRMUQHLJ5OXSG7FRQTC

not attested not anchored not stored refs pending

The Jacobi MIMO Channel

Mark Shtaif, Meir Feder, Ronen Dar

arxiv:1202.0305 v5 · 2012-02-01 · 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{LWTL4YXGRMUQHLJ5OXSG7FRQTC}

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	2026-05-18T03:48:46.473104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5da6be62e68b2903ad3d75e46f963098ba6ca247cf7b7bbd649d7f4e0360dfd0

Aliases

arxiv: 1202.0305 · arxiv_version: 1202.0305v5 · doi: 10.48550/arxiv.1202.0305 · pith_short_12: LWTL4YXGRMUQ · pith_short_16: LWTL4YXGRMUQHLJ5 · pith_short_8: LWTL4YXG

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/LWTL4YXGRMUQHLJ5OXSG7FRQTC \
  | 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: 5da6be62e68b2903ad3d75e46f963098ba6ca247cf7b7bbd649d7f4e0360dfd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8072fc332f0f30cf85d275b018e72cef8e301ec2b90d9627e4d055ddac1c6a40",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-02-01T21:45:04Z",
    "title_canon_sha256": "bf3375b69b8cfee4896ea492a72dc6a7627d05e29aea5f1a8adae61307e06c80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0305",
    "kind": "arxiv",
    "version": 5
  }
}