Pith Number

pith:U4G7PDOE

pith:2014:U4G7PDOED6UAR5LU4LU67KARSX

not attested not anchored not stored refs pending

The Sum-Product Algorithm for Degree-2 Check Nodes and Trapping Sets

John O. Brevik, Michael E. O'Sullivan

arxiv:1411.2169 v1 · 2014-11-08 · 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{U4G7PDOED6UAR5LU4LU67KARSX}

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	2026-05-18T02:38:08.293310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a70df78dc41fa808f574e2e9efa81195fe5d13e4edd8809d7849c8640b03c96d

Aliases

arxiv: 1411.2169 · arxiv_version: 1411.2169v1 · doi: 10.48550/arxiv.1411.2169 · pith_short_12: U4G7PDOED6UA · pith_short_16: U4G7PDOED6UAR5LU · pith_short_8: U4G7PDOE

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/U4G7PDOED6UAR5LU4LU67KARSX \
  | 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: a70df78dc41fa808f574e2e9efa81195fe5d13e4edd8809d7849c8640b03c96d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2073ce766d5a168c5850f2c2cef15ce8eb3aab6f050b683e09633d568c6cecaf",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-11-08T22:35:02Z",
    "title_canon_sha256": "83e30166813ae91d486a11acce98448082bc44df529341833c751ceeba307357"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2169",
    "kind": "arxiv",
    "version": 1
  }
}