Pith Number

pith:TCDPOGMX

pith:2010:TCDPOGMXOCLUYRLVTDMZZEH2K5

not attested not anchored not stored refs pending

Threshold Saturation via Spatial Coupling: Why Convolutional LDPC Ensembles Perform so well over the BEC

Ruediger Urbanke, Shrinivas Kudekar, Tom Richardson

arxiv:1001.1826 v2 · 2010-01-12 · 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{TCDPOGMXOCLUYRLVTDMZZEH2K5}

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	2026-05-18T00:58:47.809492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9886f7199770974c457598d99c90fa576f5cd7a7a103eb2c117dc87b0ced3c6d

Aliases

arxiv: 1001.1826 · arxiv_version: 1001.1826v2 · doi: 10.48550/arxiv.1001.1826 · pith_short_12: TCDPOGMXOCLU · pith_short_16: TCDPOGMXOCLUYRLV · pith_short_8: TCDPOGMX

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/TCDPOGMXOCLUYRLVTDMZZEH2K5 \
  | 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: 9886f7199770974c457598d99c90fa576f5cd7a7a103eb2c117dc87b0ced3c6d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36be9610ec1c3a3275b7ed6e692fcc100618ef1bd61cdabb439718d4e2f47c8c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-01-12T09:26:34Z",
    "title_canon_sha256": "60281c401dfd37d80acec3b07a5491bd6f9e20094f7578e55a7cae6c0a64331f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1826",
    "kind": "arxiv",
    "version": 2
  }
}