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Pith Number

pith:YPEYK5QZ

pith:2013:YPEYK5QZ4W3DXPHQOSU5MDHDKC
not attested not anchored not stored refs pending

The Deterministic Multicast Capacity of 4-Node Relay Networks

Ahmed A. Zewail, H. El Gamal, M. Nafie, Y. Mohasseb

arxiv:1304.4464 v1 · 2013-04-16 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YPEYK5QZ4W3DXPHQOSU5MDHDKC}

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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 2026-05-18T03:27:52.977117Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c3c9857619e5b63bbcf074a9d60ce350b4e3c373feb2c0a9fb9380c8757f9505

Aliases

arxiv: 1304.4464 · arxiv_version: 1304.4464v1 · doi: 10.48550/arxiv.1304.4464 · pith_short_12: YPEYK5QZ4W3D · pith_short_16: YPEYK5QZ4W3DXPHQ · pith_short_8: YPEYK5QZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YPEYK5QZ4W3DXPHQOSU5MDHDKC \
  | 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: c3c9857619e5b63bbcf074a9d60ce350b4e3c373feb2c0a9fb9380c8757f9505
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cfa92f32de4e3b1bdade965c39500bd4ca0439c23cded3de0ce1a6d50889cdc6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-04-16T14:31:38Z",
    "title_canon_sha256": "a954786140897ce54d5b03120c2a38f2d432d13bf1adb014dc395574f79e63d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4464",
    "kind": "arxiv",
    "version": 1
  }
}