Pith Number

pith:JFDE2RFL

pith:2011:JFDE2RFLGE5IP4JHUFKTCOPFJV

not attested not anchored not stored refs pending

Rate-Dependent Analysis of the Asymptotic Behavior of Channel Polarization

Rudiger Urbanke, Ryuhei Mori, S. Hamed Hassani, Toshiyuki Tanaka

arxiv:1110.0194 v2 · 2011-10-02 · 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{JFDE2RFLGE5IP4JHUFKTCOPFJV}

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	2026-05-18T00:57:57.211462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49464d44ab313a87f127a1553139e54d65c93481c45775bc3329c9d7e3e0bcff

Aliases

arxiv: 1110.0194 · arxiv_version: 1110.0194v2 · doi: 10.48550/arxiv.1110.0194 · pith_short_12: JFDE2RFLGE5I · pith_short_16: JFDE2RFLGE5IP4JH · pith_short_8: JFDE2RFL

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/JFDE2RFLGE5IP4JHUFKTCOPFJV \
  | 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: 49464d44ab313a87f127a1553139e54d65c93481c45775bc3329c9d7e3e0bcff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2ec9802aa685db85bad2a5fa660fe19fa38754d622d6b3a520fc3936efb3d77",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-10-02T14:52:43Z",
    "title_canon_sha256": "93e4f6456aa43fc8739460a95d959451fbd8504b29139d9e60754f07587b74a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0194",
    "kind": "arxiv",
    "version": 2
  }
}