Pith Number

pith:GDGYFUZQ

pith:2013:GDGYFUZQBLOCNHD4C47NJ7JVFE

not attested not anchored not stored refs pending

The Symmetric Convex Ordering: A Novel Partial Order for B-DMCs Ordering the Information Sets of Polar Codes

Mine Alsan

arxiv:1312.3876 v2 · 2013-12-13 · 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{GDGYFUZQBLOCNHD4C47NJ7JVFE}

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	2026-05-18T00:12:11.778601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30cd82d3300adc269c7c173ed4fd352911ea46e098b7cee1cb89f1f7ef18be82

Aliases

arxiv: 1312.3876 · arxiv_version: 1312.3876v2 · doi: 10.48550/arxiv.1312.3876 · pith_short_12: GDGYFUZQBLOC · pith_short_16: GDGYFUZQBLOCNHD4 · pith_short_8: GDGYFUZQ

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/GDGYFUZQBLOCNHD4C47NJ7JVFE \
  | 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: 30cd82d3300adc269c7c173ed4fd352911ea46e098b7cee1cb89f1f7ef18be82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a51fbca3a890e3a5537668982f555434a3bf335bb99cb82fe0ee6aaf663a954e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-12-13T17:03:04Z",
    "title_canon_sha256": "4fb74dbeb60130ffa89fa9222f5cbb0a5e80447701405e4539dc3a8ec1e81618"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3876",
    "kind": "arxiv",
    "version": 2
  }
}