Pith Number

pith:AG7I6D3A

pith:2023:AG7I6D3A7WA3Z4EMV5GRXD2SDO

not attested not anchored not stored refs pending

Reed-Muller codes have vanishing bit-error probability below capacity: a simple tighter proof via camellia boosting

Colin Sandon, Emmanuel Abbe

arxiv:2312.04329 v1 · 2023-12-07 · cs.IT · cs.DM · math.CO · 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{AG7I6D3A7WA3Z4EMV5GRXD2SDO}

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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

Weight distribution bounds to relate minimum distance, list decoding, and symmetric channel performance

Receipt and verification

First computed	2026-07-05T07:21:32.680887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01be8f0f60fd81bcf08caf4d1b8f521b92af8f3546402e42e78a9bba47124666

Aliases

arxiv: 2312.04329 · arxiv_version: 2312.04329v1 · doi: 10.48550/arxiv.2312.04329 · pith_short_12: AG7I6D3A7WA3 · pith_short_16: AG7I6D3A7WA3Z4EM · pith_short_8: AG7I6D3A

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/AG7I6D3A7WA3Z4EMV5GRXD2SDO \
  | 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: 01be8f0f60fd81bcf08caf4d1b8f521b92af8f3546402e42e78a9bba47124666

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc8bb4120e42a575d15a1a58786136d1c9449ae492f65bc7a0d33af2f1544103",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2023-12-07T14:45:48Z",
    "title_canon_sha256": "98e76c93716db56582011b12e200742aa344834b7f60b0b8ef9120fd109ec93c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.04329",
    "kind": "arxiv",
    "version": 1
  }
}