Pith Number

pith:WFI6G75E

pith:2014:WFI6G75EJTMBDYTMIBQG64UDKH

not attested not anchored not stored refs pending

Alignment of Polarized Sets

David Sutter, Joseph M. Renes, S. Hamed Hassani

arxiv:1411.7925 v1 · 2014-11-28 · cs.IT · math.IT · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFI6G75EJTMBDYTMIBQG64UDKH}

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.

Cited by

1 paper in Pith

Improved Logical Error Rate via List Decoding of Quantum Polar Codes

Receipt and verification

First computed	2026-05-18T01:22:14.820484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b151e37fa44cd811e26c40606f728351dfc3292634f08fb484fbb608a4f3999d

Aliases

arxiv: 1411.7925 · arxiv_version: 1411.7925v1 · doi: 10.48550/arxiv.1411.7925 · pith_short_12: WFI6G75EJTMB · pith_short_16: WFI6G75EJTMBDYTM · pith_short_8: WFI6G75E

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/WFI6G75EJTMBDYTMIBQG64UDKH \
  | 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: b151e37fa44cd811e26c40606f728351dfc3292634f08fb484fbb608a4f3999d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d98df90a49d763cde96dee81ff5af813ccc83e00fd047f0e9fd4a9989a25cc92",
    "cross_cats_sorted": [
      "math.IT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-11-28T16:07:26Z",
    "title_canon_sha256": "8bebb2ebf87106becda182191f3705822cc4191eab9bc9925ba6ba55dc1b8b14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7925",
    "kind": "arxiv",
    "version": 1
  }
}