Pith Number

pith:K2IASMJ2

pith:2010:K2IASMJ26BSAUW2Z3M4O2LQG7R

not attested not anchored not stored refs pending

Outage Efficient Strategies for Network MIMO with Partial CSIT

Jean-Claude Belfiore, Mari Kobayashi, Merouane Debbah, Sheng Yang

arxiv:1001.2421 v1 · 2010-01-14 · 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{K2IASMJ26BSAUW2Z3M4O2LQG7R}

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	2026-05-18T00:58:47.790032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

569009313af0640a5b59db38ed2e06fc44eb6a65d83d5cb00161ace706c6d5ef

Aliases

arxiv: 1001.2421 · arxiv_version: 1001.2421v1 · doi: 10.48550/arxiv.1001.2421 · pith_short_12: K2IASMJ26BSA · pith_short_16: K2IASMJ26BSAUW2Z · pith_short_8: K2IASMJ2

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/K2IASMJ26BSAUW2Z3M4O2LQG7R \
  | 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: 569009313af0640a5b59db38ed2e06fc44eb6a65d83d5cb00161ace706c6d5ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3567c7c08cc5e601ca3440632f203cef04177fbae037022406fe47a632cc897",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-01-14T11:10:59Z",
    "title_canon_sha256": "37b5084c10eecb8cebbbcc9b1f2c8cf84bce1a09848ed2a2c73973a09d188518"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2421",
    "kind": "arxiv",
    "version": 1
  }
}