Pith Number

pith:HFV3BTF4

pith:2013:HFV3BTF4OZJZGUNEEZQBIS65HY

not attested not anchored not stored refs pending

Finite-Length Scaling of Polar Codes

Kasra Alishahi, Rudiger Urbanke, S. Hamed Hassani

arxiv:1304.4778 v4 · 2013-04-17 · 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{HFV3BTF4OZJZGUNEEZQBIS65HY}

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	2026-05-18T00:58:42.463280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

396bb0ccbc76539351a42660144bdd3e2c66adfb9390aee5b9c106dce7291b6f

Aliases

arxiv: 1304.4778 · arxiv_version: 1304.4778v4 · doi: 10.48550/arxiv.1304.4778 · pith_short_12: HFV3BTF4OZJZ · pith_short_16: HFV3BTF4OZJZGUNE · pith_short_8: HFV3BTF4

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/HFV3BTF4OZJZGUNEEZQBIS65HY \
  | 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: 396bb0ccbc76539351a42660144bdd3e2c66adfb9390aee5b9c106dce7291b6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3a86582e06e2803b8c1b2cebdf20575e39f7076bd4693c4905f13a107554aab",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-04-17T11:53:42Z",
    "title_canon_sha256": "54276f9cce4826cedcb0993b66d394249252667709f46134ed83230319a80aab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4778",
    "kind": "arxiv",
    "version": 4
  }
}