Pith Number

pith:UQZPYLHE

pith:2021:UQZPYLHE7TFGOHE6NGRFOUH72R

not attested not anchored not stored refs pending

On the Automorphism Group of Polar Codes

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

arxiv:2101.09679 v3 · 2021-01-24 · 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{UQZPYLHE7TFGOHE6NGRFOUH72R}

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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.

Cited by

1 paper in Pith

Interpolation of Quantum Polar Codes and Quantum Reed-Muller Codes

Receipt and verification

First computed	2026-07-05T02:39:12.731209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a432fc2ce4fcca671c9e69a25750ffd4646b6f4a5ea22034757ba2d151a7bc72

Aliases

arxiv: 2101.09679 · arxiv_version: 2101.09679v3 · doi: 10.48550/arxiv.2101.09679 · pith_short_12: UQZPYLHE7TFG · pith_short_16: UQZPYLHE7TFGOHE6 · pith_short_8: UQZPYLHE

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/UQZPYLHE7TFGOHE6NGRFOUH72R \
  | 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: a432fc2ce4fcca671c9e69a25750ffd4646b6f4a5ea22034757ba2d151a7bc72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93acac63b55f86e8b1a4ba42683480a3956727ecc6d296d2b1f02c48fcc29b89",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2021-01-24T09:47:29Z",
    "title_canon_sha256": "4da989ce3ca0ce6e275f00bb2f5e78963a749d44b360f336167d92150663703a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.09679",
    "kind": "arxiv",
    "version": 3
  }
}