Pith Number

pith:V2TAVFZ7

pith:2013:V2TAVFZ7Y32ZL4N4PD3GDDBVA3

not attested not anchored not stored refs pending

Power Minimization in Multi-pair Two-Way Relaying

X. Wang, X. Yuan, Z. Fang

arxiv:1306.5513 v2 · 2013-06-24 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V2TAVFZ7Y32ZL4N4PD3GDDBVA3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:43:36.995903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aea60a973fc6f595f1bc78f6618c3506e85a58108e6b33d75146501748e708e1

Aliases

arxiv: 1306.5513 · arxiv_version: 1306.5513v2 · doi: 10.48550/arxiv.1306.5513 · pith_short_12: V2TAVFZ7Y32Z · pith_short_16: V2TAVFZ7Y32ZL4N4 · pith_short_8: V2TAVFZ7

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/V2TAVFZ7Y32ZL4N4PD3GDDBVA3 \
  | 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: aea60a973fc6f595f1bc78f6618c3506e85a58108e6b33d75146501748e708e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b780faba25323221e43aa582abc7710695bb03bb28789c757fd9cf6325b8d43",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-06-24T06:01:24Z",
    "title_canon_sha256": "de4b225dd5b9357360fce716de3e31b36350949c9caf31e018d120318bdcd101"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5513",
    "kind": "arxiv",
    "version": 2
  }
}