Pith Number

pith:HHLUICK3

pith:2011:HHLUICK3D4M5JVKMB2DIK5VHB4

not attested not anchored not stored refs pending

Polar codes for q-ary channels, q=2^r

Alexander Barg, Woomyoung Park

arxiv:1107.4965 v3 · 2011-07-25 · 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{HHLUICK3D4M5JVKMB2DIK5VHB4}

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	2026-05-18T04:03:56.896038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39d744095b1f19d4d54c0e868576a70f1b6df8627c0386e1e4e4d1f0a2f31453

Aliases

arxiv: 1107.4965 · arxiv_version: 1107.4965v3 · doi: 10.48550/arxiv.1107.4965 · pith_short_12: HHLUICK3D4M5 · pith_short_16: HHLUICK3D4M5JVKM · pith_short_8: HHLUICK3

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/HHLUICK3D4M5JVKMB2DIK5VHB4 \
  | 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: 39d744095b1f19d4d54c0e868576a70f1b6df8627c0386e1e4e4d1f0a2f31453

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d76e1b17c99cd536a1c90471db28d4bb4e26dfc5fabf7ceec67128f5d0c393a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-07-25T14:54:30Z",
    "title_canon_sha256": "43e6815c519496e487c213f6740fe6613c75fc2a3b355a421a9b470f9be1fb6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4965",
    "kind": "arxiv",
    "version": 3
  }
}