Pith Number

pith:XCDG4NZU

pith:2011:XCDG4NZUXGFPRXXSJRA2BN2T7T

not attested not anchored not stored refs pending

On the Diversity Order and Coding Gain of Multi-Source Multi-Relay Cooperative Wireless Networks with Binary Network Coding

Fabio Graziosi, Marco Di Renzo, Michela Iezzi

arxiv:1109.4599 v2 · 2011-09-21 · 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{XCDG4NZUXGFPRXXSJRA2BN2T7T}

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	2026-05-18T03:57:24.881934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8866e3734b98af8def24c41a0b753fce4dcefbc1645fbf9a11b62b3cf0ab871

Aliases

arxiv: 1109.4599 · arxiv_version: 1109.4599v2 · doi: 10.48550/arxiv.1109.4599 · pith_short_12: XCDG4NZUXGFP · pith_short_16: XCDG4NZUXGFPRXXS · pith_short_8: XCDG4NZU

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/XCDG4NZUXGFPRXXSJRA2BN2T7T \
  | 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: b8866e3734b98af8def24c41a0b753fce4dcefbc1645fbf9a11b62b3cf0ab871

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96db95a9432dd1470590ec77447f619c28018bc9fe5b1775544d53702235fb51",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-09-21T18:01:31Z",
    "title_canon_sha256": "df1979bc5e3f7ac6fbb58aa8dcbccf86cb8ad2d59111a35ae5f91ac1812aa75d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4599",
    "kind": "arxiv",
    "version": 2
  }
}