Pith Number

pith:X4YQ2L6C

pith:2011:X4YQ2L6CBS5POQKDBPSRO2F2QC

not attested not anchored not stored refs pending

Linear Precoding for Relay Networks with Finite-Alphabet Constraints

Chengshan Xiao, Jianhua Lu, Mingxi Wang, Weiliang Zeng

arxiv:1101.1345 v2 · 2011-01-07 · 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{X4YQ2L6CBS5POQKDBPSRO2F2QC}

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	2026-05-18T00:58:19.185880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf310d2fc20cbaf741430be51768ba80a252321e64883a1a7212f90731efebf4

Aliases

arxiv: 1101.1345 · arxiv_version: 1101.1345v2 · doi: 10.48550/arxiv.1101.1345 · pith_short_12: X4YQ2L6CBS5P · pith_short_16: X4YQ2L6CBS5POQKD · pith_short_8: X4YQ2L6C

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/X4YQ2L6CBS5POQKDBPSRO2F2QC \
  | 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: bf310d2fc20cbaf741430be51768ba80a252321e64883a1a7212f90731efebf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92044125877b39516408d978db86a49bbaa65a63f440bfa7d023c17eb12238d8",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-01-07T03:22:16Z",
    "title_canon_sha256": "d975cb9f471447c5c2d6b3ec42fa3efd13c749e3b353e49553d87b820a2d4905"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1345",
    "kind": "arxiv",
    "version": 2
  }
}