Pith Number

pith:EY3O7C4I

pith:2013:EY3O7C4IUFPBCPA7T3C34KWIDA

not attested not anchored not stored refs pending

Polar Codes For Broadcast Channels

Emmanuel Abbe, Michael Gastpar, Naveen Goela

arxiv:1301.6150 v1 · 2013-01-25 · 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{EY3O7C4IUFPBCPA7T3C34KWIDA}

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	2026-05-18T02:18:52.095723Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2636ef8b88a15e113c1f9ec5be2ac8181852f8efdb7bc672beef0a0077dbc6f2

Aliases

arxiv: 1301.6150 · arxiv_version: 1301.6150v1 · doi: 10.48550/arxiv.1301.6150 · pith_short_12: EY3O7C4IUFPB · pith_short_16: EY3O7C4IUFPBCPA7 · pith_short_8: EY3O7C4I

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/EY3O7C4IUFPBCPA7T3C34KWIDA \
  | 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: 2636ef8b88a15e113c1f9ec5be2ac8181852f8efdb7bc672beef0a0077dbc6f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffeed0dedf118bf5dfd465426f3785a91670a5c6f87a8f5862f0fc6d88aa4e1c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-01-25T20:10:58Z",
    "title_canon_sha256": "0eee6e174962335e2d6295b3b8947ff074da949eae0506add13d306c0ca1059e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6150",
    "kind": "arxiv",
    "version": 1
  }
}