pith. sign in
Pith Number

pith:ZPKKDDE7

pith:2012:ZPKKDDE7IGHCTDHQ4FS472ROQ6
not attested not anchored not stored refs pending

Expansion coding: Achieving the capacity of an AEN channel

Hongbo Si, Kumar Appaiah, O. Ozan Koyluoglu, Sriram Vishwanath

arxiv:1202.1572 v1 · 2012-02-08 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZPKKDDE7IGHCTDHQ4FS472ROQ6}

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 2026-05-18T04:02:51.992733Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cbd4a18c9f418e298cf0e165cfea2e879ee5a6d8f102fb0a644267fe04cdea48

Aliases

arxiv: 1202.1572 · arxiv_version: 1202.1572v1 · doi: 10.48550/arxiv.1202.1572 · pith_short_12: ZPKKDDE7IGHC · pith_short_16: ZPKKDDE7IGHCTDHQ · pith_short_8: ZPKKDDE7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZPKKDDE7IGHCTDHQ4FS472ROQ6 \
  | 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: cbd4a18c9f418e298cf0e165cfea2e879ee5a6d8f102fb0a644267fe04cdea48
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "30169974e476ff26b7b8c89e643fb4e606f0ebb92a44879f243f0bd893c268ad",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-02-08T01:27:09Z",
    "title_canon_sha256": "e9710be664f2903277654652ae46a76d6b003aea02cee29f338ce986f1393b82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1572",
    "kind": "arxiv",
    "version": 1
  }
}