Pith Number

pith:YTU3AOLX

pith:2017:YTU3AOLXKBJ5J62RUWOVBLZT67

not attested not anchored not stored refs pending

Capacity-Achievability of Polar Codes and Precoded Polar Codes under List Decoding: They are Good both Practically and Theoretically

Ba-Zhong Shen, Lijuan Xing, Zhuo Li

arxiv:1712.00165 v2 · 2017-12-01 · 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{YTU3AOLXKBJ5J62RUWOVBLZT67}

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	2026-05-18T00:28:04.358195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4e9b039775053d4fb51a59d50af33f7fa22e4f0977d83e21367315890f04fe2

Aliases

arxiv: 1712.00165 · arxiv_version: 1712.00165v2 · doi: 10.48550/arxiv.1712.00165 · pith_short_12: YTU3AOLXKBJ5 · pith_short_16: YTU3AOLXKBJ5J62R · pith_short_8: YTU3AOLX

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/YTU3AOLXKBJ5J62RUWOVBLZT67 \
  | 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: c4e9b039775053d4fb51a59d50af33f7fa22e4f0977d83e21367315890f04fe2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "803873d12c2f7ffb3beba6b728b1f5955aa4661c364140080bcf779d3c596c2a",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-12-01T02:44:37Z",
    "title_canon_sha256": "4544a19c1031ad6fee58ca2a4e45ddc61e4d3c766eff0871d62b743a20a19159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00165",
    "kind": "arxiv",
    "version": 2
  }
}