Pith Number

pith:FPH7ZVKS

pith:2012:FPH7ZVKSHDPVXWSIXAJ6ZNP3XU

not attested not anchored not stored refs pending

Sum-Rate Maximization with Minimum Power Consumption for MIMO DF Two-Way Relaying: Part II - Network Optimization

Hai Jiang, Jianshu Zhang, Jie Gao, Martin Haardt, Sergiy A. Vorobyov

arxiv:1212.3654 v1 · 2012-12-15 · 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{FPH7ZVKSHDPVXWSIXAJ6ZNP3XU}

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	2026-05-18T01:52:37.959662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bcffcd55238df5bda48b813ecb5fbbd07780cccd2399a3f9681c5d21db13e0b

Aliases

arxiv: 1212.3654 · arxiv_version: 1212.3654v1 · doi: 10.48550/arxiv.1212.3654 · pith_short_12: FPH7ZVKSHDPV · pith_short_16: FPH7ZVKSHDPVXWSI · pith_short_8: FPH7ZVKS

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/FPH7ZVKSHDPVXWSIXAJ6ZNP3XU \
  | 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: 2bcffcd55238df5bda48b813ecb5fbbd07780cccd2399a3f9681c5d21db13e0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9131126c74fe50de7d2117e65a8eefa8a48124158f51bf26258d38bbf438126c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-12-15T03:51:31Z",
    "title_canon_sha256": "68f3086cbe2d93281f3a2588a5f74daa4b349372bf749eb4ed9b6fc596b9d0c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3654",
    "kind": "arxiv",
    "version": 1
  }
}