Pith Number

pith:ZS57KDO3

pith:2011:ZS57KDO3WIGI3UUAD7M2BHGQU7

not attested not anchored not stored refs pending

Energy Minimization for the Half-Duplex Relay Channel with Decode-Forward Relaying

Fanny Parzysz, Fran\c{c}ois Gagnon, Mai Vu

arxiv:1108.2829 v3 · 2011-08-13 · 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{ZS57KDO3WIGI3UUAD7M2BHGQU7}

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	2026-05-18T00:57:57.273324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccbbf50ddbb20c8dd2801fd9a09cd0a7ce41b9da2c7635818cafd3ea051b6653

Aliases

arxiv: 1108.2829 · arxiv_version: 1108.2829v3 · doi: 10.48550/arxiv.1108.2829 · pith_short_12: ZS57KDO3WIGI · pith_short_16: ZS57KDO3WIGI3UUA · pith_short_8: ZS57KDO3

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/ZS57KDO3WIGI3UUAD7M2BHGQU7 \
  | 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: ccbbf50ddbb20c8dd2801fd9a09cd0a7ce41b9da2c7635818cafd3ea051b6653

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e1c488e8f1d2317b2cd0a2a0e4ccb741a5ff755f6170620e8c288cd64e1e37f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-08-13T22:35:51Z",
    "title_canon_sha256": "e5b2f0a45a3f583736bce2cca5f66092cc2e65e88ac633ced03b2d863aa48d82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2829",
    "kind": "arxiv",
    "version": 3
  }
}