Pith Number

pith:HAFRPLF7

pith:2015:HAFRPLF7SQEBNXUIW6GDKXVMWB

not attested not anchored not stored refs pending

Reed-Muller Codes Achieve Capacity on the Binary Erasure Channel under MAP Decoding

Eren \c{S}a\c{s}o\u{g}lu, Marco Mondelli, R\"udiger Urbanke, Shrinivas Kudekar

arxiv:1505.05831 v1 · 2015-05-21 · 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{HAFRPLF7SQEBNXUIW6GDKXVMWB}

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.

Cited by

1 paper in Pith

Repairing Generalized Reed-Muller Codes

Receipt and verification

First computed	2026-05-18T02:03:53.346543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

380b17acbf940816de88b78c355eacb05bbba0597778237f5e9b5f58c7da513e

Aliases

arxiv: 1505.05831 · arxiv_version: 1505.05831v1 · doi: 10.48550/arxiv.1505.05831 · pith_short_12: HAFRPLF7SQEB · pith_short_16: HAFRPLF7SQEBNXUI · pith_short_8: HAFRPLF7

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/HAFRPLF7SQEBNXUIW6GDKXVMWB \
  | 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: 380b17acbf940816de88b78c355eacb05bbba0597778237f5e9b5f58c7da513e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "943787c186c914d0cba2f3fd0f1a049ea2996a1118b049bcb0c8d91b96092f3e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-05-21T18:41:44Z",
    "title_canon_sha256": "ac796caff7a3dc6fad9cfe2118d1028b87a5db9fb1fb352faac167c3bb64554c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05831",
    "kind": "arxiv",
    "version": 1
  }
}