Pith Number

pith:4C2D3MUX

pith:2012:4C2D3MUXYPCXK7X6LE5OT2YVGD

not attested not anchored not stored refs pending

Fast Sparse Superposition Codes have Exponentially Small Error Probability for R < C

Andrew Barron, Antony Joseph

arxiv:1207.2406 v1 · 2012-07-10 · cs.IT · math.IT · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4C2D3MUXYPCXK7X6LE5OT2YVGD}

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	2026-05-18T03:51:24.210262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0b43db297c3c5757efe593ae9eb1530d931bfc67368c9221be5775e26da2ea1

Aliases

arxiv: 1207.2406 · arxiv_version: 1207.2406v1 · doi: 10.48550/arxiv.1207.2406 · pith_short_12: 4C2D3MUXYPCX · pith_short_16: 4C2D3MUXYPCXK7X6 · pith_short_8: 4C2D3MUX

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/4C2D3MUXYPCXK7X6LE5OT2YVGD \
  | 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: e0b43db297c3c5757efe593ae9eb1530d931bfc67368c9221be5775e26da2ea1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb51c838d50587b9cdf9a80942bb5c97d9a4186ea1dd47e6d9fc4006265bc855",
    "cross_cats_sorted": [
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-07-10T16:35:03Z",
    "title_canon_sha256": "5820b60a893d0b6c62f951b7ed58bc35597b93a65495658400c3c5da9c0352b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2406",
    "kind": "arxiv",
    "version": 1
  }
}