Pith Number

pith:3GACHIQ2

pith:2012:3GACHIQ2H75MGAIYTG7OS7GKFY

not attested not anchored not stored refs pending

Low-Density Arrays of Circulant Matrices: Rank and Row-Redundancy Analysis, and Quasi-Cyclic LDPC Codes

Keke Liu, Qin Huang, Zulin Wang

arxiv:1202.0702 v1 · 2012-02-03 · cs.IT · math.IT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3GACHIQ2H75MGAIYTG7OS7GKFY}

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	2026-05-18T04:03:08.191159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d98023a21a3ffac3011899bee97cca2e2d1545ae4084795fcb62d19137b565e6

Aliases

arxiv: 1202.0702 · arxiv_version: 1202.0702v1 · doi: 10.48550/arxiv.1202.0702 · pith_short_12: 3GACHIQ2H75M · pith_short_16: 3GACHIQ2H75MGAIY · pith_short_8: 3GACHIQ2

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/3GACHIQ2H75MGAIYTG7OS7GKFY \
  | 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: d98023a21a3ffac3011899bee97cca2e2d1545ae4084795fcb62d19137b565e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73df3eeac4ce7843fbd52906397ad13bb03a58ef167861509284986e73b757bf",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-02-03T13:49:35Z",
    "title_canon_sha256": "9a5b03e342dd5b70db5b5069748ed8a5271664568f377ed20b9721e72ab43efe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0702",
    "kind": "arxiv",
    "version": 1
  }
}