pith. sign in
Pith Number

pith:2YFDK5LB

pith:2005:2YFDK5LBH2OEXQPFMIEXGCN2HW
not attested not anchored not stored refs pending

Capacity-Achieving Codes with Bounded Graphical Complexity on Noisy Channels

Achilleas Anastasopoulos, Chun-Hao Hsu

arxiv:cs/0509062 v3 · 2005-09-19 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2YFDK5LBH2OEXQPFMIEXGCN2HW}

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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 2026-05-18T01:06:49.045428Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d60a3575613e9c4bc1e562097309ba3d9bc47f328faac2aadc005ee16126e062

Aliases

arxiv: cs/0509062 · arxiv_version: cs/0509062v3 · doi: 10.48550/arxiv.cs/0509062 · pith_short_12: 2YFDK5LBH2OE · pith_short_16: 2YFDK5LBH2OEXQPF · pith_short_8: 2YFDK5LB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2YFDK5LBH2OEXQPFMIEXGCN2HW \
  | 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: d60a3575613e9c4bc1e562097309ba3d9bc47f328faac2aadc005ee16126e062
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5247b1edff4a007b4bd5a1dd526d6bfcef6d6b31ebbe8f26ae50f823676beb44",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2005-09-19T23:22:34Z",
    "title_canon_sha256": "f59e0f77fce7b29e37d2ca01b69536e355a0896d249f331070f05ae76e5e55f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0509062",
    "kind": "arxiv",
    "version": 3
  }
}