Pith Number

pith:TUBH3BR4

pith:2012:TUBH3BR4FYTPBHO4FU7KTSIMGQ

not attested not anchored not stored refs pending

On the Capacity Region and the Generalized Degrees of Freedom Region for the MIMO Interference Channel with Feedback

Mehdi Ashraphijuo, Vaneet Aggarwal, Xiaodong Wang

arxiv:1212.4902 v2 · 2012-12-20 · 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{TUBH3BR4FYTPBHO4FU7KTSIMGQ}

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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	2026-05-18T02:47:51.058697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d027d863c2e26f09ddc2d3ea9c90c3422a8896abca1058ecf6b1f6c7f0ecba6

Aliases

arxiv: 1212.4902 · arxiv_version: 1212.4902v2 · doi: 10.48550/arxiv.1212.4902 · pith_short_12: TUBH3BR4FYTP · pith_short_16: TUBH3BR4FYTPBHO4 · pith_short_8: TUBH3BR4

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/TUBH3BR4FYTPBHO4FU7KTSIMGQ \
  | 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: 9d027d863c2e26f09ddc2d3ea9c90c3422a8896abca1058ecf6b1f6c7f0ecba6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9608891036df0ce8087b39e72596e1ac6abddd66eda81f4ad64e25676ab06314",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-12-20T01:35:23Z",
    "title_canon_sha256": "a83a0c2ac9d2ec1d14e3722dec789fde1bbb7d8ced95083a3ef2cd6ec250954f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4902",
    "kind": "arxiv",
    "version": 2
  }
}