Pith Number

pith:L6H6PZ3H

pith:2012:L6H6PZ3H5CFNFMJFF6K2Y4YQOS

not attested not anchored not stored refs pending

Spatially Coupled Ensembles Universally Achieve Capacity under Belief Propagation

Ruediger Urbanke, Shrinivas Kudekar, Tom Richardson

arxiv:1201.2999 v1 · 2012-01-14 · 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{L6H6PZ3H5CFNFMJFF6K2Y4YQOS}

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	2026-05-18T04:04:32.554804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f8fe7e767e88ad2b1252f95ac731074afd7843774fe5e3514781db9e4e186ed

Aliases

arxiv: 1201.2999 · arxiv_version: 1201.2999v1 · doi: 10.48550/arxiv.1201.2999 · pith_short_12: L6H6PZ3H5CFN · pith_short_16: L6H6PZ3H5CFNFMJF · pith_short_8: L6H6PZ3H

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/L6H6PZ3H5CFNFMJFF6K2Y4YQOS \
  | 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: 5f8fe7e767e88ad2b1252f95ac731074afd7843774fe5e3514781db9e4e186ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ce95b8bd213230cccd039ab085d6f1ae40840498b69215c541a7c68496acabe",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-01-14T08:36:18Z",
    "title_canon_sha256": "ea7c68660d0ca1b75fbeeb5e16face4b81cc011abafb9cd27d0157ffaf5ea904"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2999",
    "kind": "arxiv",
    "version": 1
  }
}