Pith Number

pith:BUOGN5VE

pith:2016:BUOGN5VEAJBIJQEDGQAM6NZAQ7

not attested not anchored not stored refs pending

Reed-Muller Codes Achieve Capacity on Erasure Channels

Eren \c{S}a\c{s}o\u{g}lu, Henry D. Pfister, Marco Mondelli, R\"udiger Urbanke, Santhosh Kumar, Shrinivas Kudekar

arxiv:1601.04689 v1 · 2016-01-18 · 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{BUOGN5VEAJBIJQEDGQAM6NZAQ7}

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	2026-05-18T01:22:44.431877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d1c66f6a4024284c0833400cf372087d2ca255914a497cd7417b97f68ebd94a

Aliases

arxiv: 1601.04689 · arxiv_version: 1601.04689v1 · doi: 10.48550/arxiv.1601.04689 · pith_short_12: BUOGN5VEAJBI · pith_short_16: BUOGN5VEAJBIJQED · pith_short_8: BUOGN5VE

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/BUOGN5VEAJBIJQEDGQAM6NZAQ7 \
  | 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: 0d1c66f6a4024284c0833400cf372087d2ca255914a497cd7417b97f68ebd94a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f70b4b49b1e19f54fa4c816a766c6f436225bb561ad29a3f1f5e577a77b8642d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-01-18T20:50:08Z",
    "title_canon_sha256": "f93b8d0b4de9e930cca4f04b674df06c4563818d9514e0681a8d30ca81b2ed22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04689",
    "kind": "arxiv",
    "version": 1
  }
}