Pith Number

pith:5OKZTJ3M

pith:2016:5OKZTJ3MZO4G2FC4KCE4S5F5E7

not attested not anchored not stored refs pending

Multi-Kernel Construction of Polar Codes

Frederic Gabry, Ingmar Land, Jean-Claude Belfiore, Valerio Bioglio

arxiv:1612.06099 v2 · 2016-12-19 · 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{5OKZTJ3MZO4G2FC4KCE4S5F5E7}

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	2026-05-18T00:48:59.550366Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb9599a76ccbb86d145c5089c974bd27e66391087169e4dba741e9fb05cc6ba5

Aliases

arxiv: 1612.06099 · arxiv_version: 1612.06099v2 · doi: 10.48550/arxiv.1612.06099 · pith_short_12: 5OKZTJ3MZO4G · pith_short_16: 5OKZTJ3MZO4G2FC4 · pith_short_8: 5OKZTJ3M

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/5OKZTJ3MZO4G2FC4KCE4S5F5E7 \
  | 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: eb9599a76ccbb86d145c5089c974bd27e66391087169e4dba741e9fb05cc6ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7402fb6d09bda42b4e4623c83314db835b51b57bf0b754574a72a0fb84c40b89",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-12-19T10:07:07Z",
    "title_canon_sha256": "b2ac8301b11c4b75fb267e148a9a6d7f0f814f22d8fdec114959a2fd82a244ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06099",
    "kind": "arxiv",
    "version": 2
  }
}