Pith Number

pith:KC3IO7KT

pith:2012:KC3IO7KT5NN3Y4SSEZKNFXZ7M2

not attested not anchored not stored refs pending

Dual-Based Bounds for Resource Allocation in Zero-forcing Beamforming OFDMA-SDMA Systems

Andre Girard, Diego Perea-Vega, Jean-Francois Frigon

arxiv:1212.5284 v1 · 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{KC3IO7KT5NN3Y4SSEZKNFXZ7M2}

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	2026-05-18T03:06:13.607078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50b6877d53eb5bbc72522654d2df3f66bbce4c2924a2ec33590eccbd5c5d8691

Aliases

arxiv: 1212.5284 · arxiv_version: 1212.5284v1 · doi: 10.48550/arxiv.1212.5284 · pith_short_12: KC3IO7KT5NN3 · pith_short_16: KC3IO7KT5NN3Y4SS · pith_short_8: KC3IO7KT

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/KC3IO7KT5NN3Y4SSEZKNFXZ7M2 \
  | 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: 50b6877d53eb5bbc72522654d2df3f66bbce4c2924a2ec33590eccbd5c5d8691

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fa9d40ae7805d20d85511aa97a00a9e98bda0e5a648ee078365ff640fb80e5d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-12-20T22:12:15Z",
    "title_canon_sha256": "dc429cb507d7b6413491e2f0a72fbaf2a62f62ed127595ce50acea96f9429459"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5284",
    "kind": "arxiv",
    "version": 1
  }
}