Pith Number

pith:64WT5BAX

pith:2013:64WT5BAX6PSKNU5QSYSL2ODEWS

not attested not anchored not stored refs pending

Optimal Amplify-and-Forward Schemes for Relay Channels with Correlated Relay Noise

Binyue Liu, Ning Cai, Ye Yang

arxiv:1301.5695 v2 · 2013-01-24 · 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{64WT5BAX6PSKNU5QSYSL2ODEWS}

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	2026-05-18T03:19:04.521477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f72d3e8417f3e4a6d3b09624bd3864b4b387a41e6f799d08325dc3e48706a82c

Aliases

arxiv: 1301.5695 · arxiv_version: 1301.5695v2 · doi: 10.48550/arxiv.1301.5695 · pith_short_12: 64WT5BAX6PSK · pith_short_16: 64WT5BAX6PSKNU5Q · pith_short_8: 64WT5BAX

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/64WT5BAX6PSKNU5QSYSL2ODEWS \
  | 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: f72d3e8417f3e4a6d3b09624bd3864b4b387a41e6f799d08325dc3e48706a82c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96349010b17a7c97b55a220cb15435a67c1c81ccd8a67408f0904bbb8bbfa4d4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-01-24T03:58:39Z",
    "title_canon_sha256": "a83fed8d01bada9c7c8037c2b02734b6a49cc0d55cb41eee304f7725bb8bed4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5695",
    "kind": "arxiv",
    "version": 2
  }
}