Pith Number

pith:W7FAAVVV

pith:2010:W7FAAVVVS3ZABRK5JKUICUFXGG

not attested not anchored not stored refs pending

On the Optimal Compressions in the Compress-and-Forward Relay Schemes

Liang-Liang Xie, Xiugang Wu

arxiv:1009.5959 v3 · 2010-09-29 · 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{W7FAAVVVS3ZABRK5JKUICUFXGG}

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	2026-05-18T04:28:19.999441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7ca0056b596f200c55d4aa88150b73189a9d3c0070cdcae415e671843689959

Aliases

arxiv: 1009.5959 · arxiv_version: 1009.5959v3 · doi: 10.48550/arxiv.1009.5959 · pith_short_12: W7FAAVVVS3ZA · pith_short_16: W7FAAVVVS3ZABRK5 · pith_short_8: W7FAAVVV

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/W7FAAVVVS3ZABRK5JKUICUFXGG \
  | 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: b7ca0056b596f200c55d4aa88150b73189a9d3c0070cdcae415e671843689959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a2d3b3ea3a83f315d280c1d555ed383511ba513f19fdeb7913b8acfdf64e0c2",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-09-29T17:59:58Z",
    "title_canon_sha256": "151bdd4fde83b7db1bd3b5d876571fa426ee56184082f5d3b3899ce1216c2ea9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5959",
    "kind": "arxiv",
    "version": 3
  }
}