Pith Number

pith:7FC7ODQL

pith:2017:7FC7ODQL34KMQHCLXK7CBUQQSD

not attested not anchored not stored refs pending

Sparse Graphs for Belief Propagation Decoding of Polar Codes

Ahmed Elkelesh, Moustafa Ebada, Sebastian Cammerer, Stephan ten Brink

arxiv:1712.08538 v5 · 2017-12-22 · 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{7FC7ODQL34KMQHCLXK7CBUQQSD}

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	2026-05-18T00:16:08.141420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f945f70e0bdf14c81c4bbabe20d21090fc019a0bf4240e263b1070c1a1dcf23d

Aliases

arxiv: 1712.08538 · arxiv_version: 1712.08538v5 · doi: 10.48550/arxiv.1712.08538 · pith_short_12: 7FC7ODQL34KM · pith_short_16: 7FC7ODQL34KMQHCL · pith_short_8: 7FC7ODQL

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/7FC7ODQL34KMQHCLXK7CBUQQSD \
  | 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: f945f70e0bdf14c81c4bbabe20d21090fc019a0bf4240e263b1070c1a1dcf23d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a0de95475421131c77d0298ff4b2b0dd7d1f748304b79e282e1ead06e7a9040",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-12-22T15:58:14Z",
    "title_canon_sha256": "5a3dc6ae42aa9bf40f9df0030fa18a3e73c8655697cf7202d20fbb9d2742db6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08538",
    "kind": "arxiv",
    "version": 5
  }
}