Pith Number

pith:GE4FLRWQ

pith:2015:GE4FLRWQGHTE4SJFBI2JG54OEH

not attested not anchored not stored refs pending

Polar codes in quantum information theory

Christoph Hirche

arxiv:1501.03737 v1 · 2015-01-15 · quant-ph · 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{GE4FLRWQGHTE4SJFBI2JG54OEH}

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	2026-05-18T02:29:17.922342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

313855c6d031e64e49250a3493778e21d37a50363757e1a0ede1e586afabf422

Aliases

arxiv: 1501.03737 · arxiv_version: 1501.03737v1 · doi: 10.48550/arxiv.1501.03737 · pith_short_12: GE4FLRWQGHTE · pith_short_16: GE4FLRWQGHTE4SJF · pith_short_8: GE4FLRWQ

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/GE4FLRWQGHTE4SJFBI2JG54OEH \
  | 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: 313855c6d031e64e49250a3493778e21d37a50363757e1a0ede1e586afabf422

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08d5af571429eb575556a25573b6faf9da38964350f38768c6b72a5efe6fb8ef",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-01-15T16:42:37Z",
    "title_canon_sha256": "6c29aa4377a67ba4d4e61d909725a898c34d595886e8ae50dbdc9c62e9ca0191"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03737",
    "kind": "arxiv",
    "version": 1
  }
}