Pith Number

pith:EPEYFFTV

pith:2010:EPEYFFTV46DEJET5NOMEQSGBUI

not attested not anchored not stored refs pending

Duality, Polite Water-filling, and Optimization for MIMO B-MAC Interference Networks and iTree Networks

An Liu, Haige Xiang, Wu Luo, Youjian (Eugene) Liu

arxiv:1004.2484 v3 · 2010-04-14 · 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{EPEYFFTV46DEJET5NOMEQSGBUI}

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	2026-05-18T03:00:15.019623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23c9829675e78644927d6b984848c1a23ad85fb4a6fd5268d7614f3398725dbf

Aliases

arxiv: 1004.2484 · arxiv_version: 1004.2484v3 · doi: 10.48550/arxiv.1004.2484 · pith_short_12: EPEYFFTV46DE · pith_short_16: EPEYFFTV46DEJET5 · pith_short_8: EPEYFFTV

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/EPEYFFTV46DEJET5NOMEQSGBUI \
  | 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: 23c9829675e78644927d6b984848c1a23ad85fb4a6fd5268d7614f3398725dbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26ccc17e90cd46ed6d1f033e149e5e39b077a9c9ea8bfce3ae838968421e4b3c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-04-14T19:48:30Z",
    "title_canon_sha256": "54cec8a8d8727b9178fb06bc277513c13c39a8cb2fa759ebcf4de43563f0b683"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2484",
    "kind": "arxiv",
    "version": 3
  }
}