Pith Number

pith:BTJ2FSHH

pith:2013:BTJ2FSHHCYBFGJWZ57TMTWZF45

not attested not anchored not stored refs pending

The Random Coding Bound Is Tight for the Average Linear Code or Lattice

Meir Feder, Ram Zamir, Yuval Domb

arxiv:1307.5524 v2 · 2013-07-21 · 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{BTJ2FSHHCYBFGJWZ57TMTWZF45}

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	2026-05-18T03:14:49.593082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cd3a2c8e716025326d9efe6c9db25e76fef7a7365f55fb8879ce3cd156daa5c

Aliases

arxiv: 1307.5524 · arxiv_version: 1307.5524v2 · doi: 10.48550/arxiv.1307.5524 · pith_short_12: BTJ2FSHHCYBF · pith_short_16: BTJ2FSHHCYBFGJWZ · pith_short_8: BTJ2FSHH

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/BTJ2FSHHCYBFGJWZ57TMTWZF45 \
  | 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: 0cd3a2c8e716025326d9efe6c9db25e76fef7a7365f55fb8879ce3cd156daa5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1bd2b8663cc86f68f3f284d09a5166915233720d9c95c4d9425c335e7c97b0f",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-07-21T12:45:05Z",
    "title_canon_sha256": "ee24c600f9df4fe5ba29348ed61d03ae3ae83c0e0586118d62c73277a3d3561a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5524",
    "kind": "arxiv",
    "version": 2
  }
}