Pith Number

pith:AP3WHKEM

pith:2012:AP3WHKEMFVJJXC572V3BEGHMVN

not attested not anchored not stored refs pending

LP decoding of expander codes: a simpler proof

Michael Viderman

arxiv:1206.2568 v1 · 2012-06-12 · 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{AP3WHKEMFVJJXC572V3BEGHMVN}

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	2026-05-18T03:53:44.155730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03f763a88c2d529b8bbfd5761218ecab5488a88a95ef351c8f7a4272363f4891

Aliases

arxiv: 1206.2568 · arxiv_version: 1206.2568v1 · doi: 10.48550/arxiv.1206.2568 · pith_short_12: AP3WHKEMFVJJ · pith_short_16: AP3WHKEMFVJJXC57 · pith_short_8: AP3WHKEM

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/AP3WHKEMFVJJXC572V3BEGHMVN \
  | 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: 03f763a88c2d529b8bbfd5761218ecab5488a88a95ef351c8f7a4272363f4891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7428b4548cd2e894690cf1f3b2933131111c64368826a48bcd47ed9fc096282",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-06-12T15:41:27Z",
    "title_canon_sha256": "83ac7f9a30ef36db4d50c82840276391bbe0a9df0836035a2c0b8c855c295274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2568",
    "kind": "arxiv",
    "version": 1
  }
}