Pith Number

pith:PRESRW25

pith:2013:PRESRW25BRKOPU6QOLGAFHZFD2

not attested not anchored not stored refs pending

Degrees of Freedom for the MIMO Multi-way Relay Channel

Aylin Yener, Ye Tian

arxiv:1308.1389 v1 · 2013-08-06 · 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{PRESRW25BRKOPU6QOLGAFHZFD2}

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	2026-05-18T03:16:39.016900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c4928db5d0c54e7d3d072cc029f251ebebfc07ff599da70e106b9da5ada46db

Aliases

arxiv: 1308.1389 · arxiv_version: 1308.1389v1 · doi: 10.48550/arxiv.1308.1389 · pith_short_12: PRESRW25BRKO · pith_short_16: PRESRW25BRKOPU6Q · pith_short_8: PRESRW25

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/PRESRW25BRKOPU6QOLGAFHZFD2 \
  | 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: 7c4928db5d0c54e7d3d072cc029f251ebebfc07ff599da70e106b9da5ada46db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ef8772ecb7ca556443a5b2e7e6fbe584b875dce77093d172d97e992c5e9d769",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-08-06T19:45:31Z",
    "title_canon_sha256": "22ee1d29e91cf32406a1ddbb5fb9e133d55424938ce9404da649a0257c8bdcdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1389",
    "kind": "arxiv",
    "version": 1
  }
}