Pith Number

pith:7ELW3HVG

pith:2010:7ELW3HVGHGFYCO3SNDWZ7RIKUT

not attested not anchored not stored refs pending

Gaussian Broadcast Channels with an Orthogonal and Bidirectional Cooperation Link

B. Djeumou, E. V. Belmega, S. Lasaulce

arxiv:1011.4602 v1 · 2010-11-20 · 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{7ELW3HVGHGFYCO3SNDWZ7RIKUT}

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	2026-05-18T04:35:04.333899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9176d9ea6398b813b7268ed9fc50aa4d2bea92041eff8e651efab36bb18e6f0

Aliases

arxiv: 1011.4602 · arxiv_version: 1011.4602v1 · doi: 10.48550/arxiv.1011.4602 · pith_short_12: 7ELW3HVGHGFY · pith_short_16: 7ELW3HVGHGFYCO3S · pith_short_8: 7ELW3HVG

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/7ELW3HVGHGFYCO3SNDWZ7RIKUT \
  | 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: f9176d9ea6398b813b7268ed9fc50aa4d2bea92041eff8e651efab36bb18e6f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3659247bf595fbedf91d4d9e7a4bf85440efacc438eff52e964cbe969d68f79b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-11-20T19:31:37Z",
    "title_canon_sha256": "a141073fddbe252c6a78458e81302be1dba8eaca9fdb49ee4259c36212e7d476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4602",
    "kind": "arxiv",
    "version": 1
  }
}