Pith Number

pith:UU72ULVX

pith:2007:UU72ULVXOB2F4MQIVMSJSBNS6W

not attested not anchored not stored refs pending

On Universal Properties of Capacity-Approaching LDPC Ensembles

Igal Sason

arxiv:0709.0599 v5 · 2007-09-05 · 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{UU72ULVXOB2F4MQIVMSJSBNS6W}

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	2026-05-18T00:58:26.023425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a53faa2eb770745e3208ab249905b2f580abe7372504f638b5ec8c6d114f71e1

Aliases

arxiv: 0709.0599 · arxiv_version: 0709.0599v5 · doi: 10.48550/arxiv.0709.0599 · pith_short_12: UU72ULVXOB2F · pith_short_16: UU72ULVXOB2F4MQI · pith_short_8: UU72ULVX

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/UU72ULVXOB2F4MQIVMSJSBNS6W \
  | 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: a53faa2eb770745e3208ab249905b2f580abe7372504f638b5ec8c6d114f71e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "744f4406e3d00a9e4c2f5ea2aa7a2db99fd3ffdeee766d2ce0e2d6e84a40974a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2007-09-05T12:25:58Z",
    "title_canon_sha256": "5f0638ef4f531edcce69dad004cdfec7191e958169e8bf0296927d9f87472a84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.0599",
    "kind": "arxiv",
    "version": 5
  }
}