Pith Number

pith:SDNB3JEI

pith:2023:SDNB3JEIXJONEJIRHSCXH65OI2

not attested not anchored not stored refs pending

A proof that Reed-Muller codes achieve Shannon capacity on symmetric channels

Colin Sandon, Emmanuel Abbe

arxiv:2304.02509 v1 · 2023-04-05 · cs.IT · cs.DM · 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{SDNB3JEIXJONEJIRHSCXH65OI2}

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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.

Cited by

1 paper in Pith

On the Worst-Case Complexity of Gibbs Decoding for Reed--Muller Codes

Receipt and verification

First computed	2026-07-05T05:58:26.323519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90da1da488ba5cd225113c8573fbae469e56e6b46b1363717fad27dafc56c0fb

Aliases

arxiv: 2304.02509 · arxiv_version: 2304.02509v1 · doi: 10.48550/arxiv.2304.02509 · pith_short_12: SDNB3JEIXJON · pith_short_16: SDNB3JEIXJONEJIR · pith_short_8: SDNB3JEI

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/SDNB3JEIXJONEJIRHSCXH65OI2 \
  | 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: 90da1da488ba5cd225113c8573fbae469e56e6b46b1363717fad27dafc56c0fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adf8821fec99d5fea2a8b192cd48e475fea4caa5a9e696c1226544b6e9124da9",
    "cross_cats_sorted": [
      "cs.DM",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2023-04-05T15:31:55Z",
    "title_canon_sha256": "33bb7922f191f43ce93bbb37a40783a39c72a168e75fc43c08ecf680c9366da5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.02509",
    "kind": "arxiv",
    "version": 1
  }
}