Pith Number

pith:TOY7PG2P

pith:2016:TOY7PG2PF3NVMHVQAQPA2GATD6

not attested not anchored not stored refs pending

Efficient Construction of Polar Codes

Liping Li, Wei Wang

arxiv:1610.09782 v2 · 2016-10-31 · 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{TOY7PG2PF3NVMHVQAQPA2GATD6}

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	2026-05-18T00:45:58.502676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bb1f79b4f2edb561eb0041e0d18131fbff2cb13b3af87864f459676d5e66338

Aliases

arxiv: 1610.09782 · arxiv_version: 1610.09782v2 · doi: 10.48550/arxiv.1610.09782 · pith_short_12: TOY7PG2PF3NV · pith_short_16: TOY7PG2PF3NVMHVQ · pith_short_8: TOY7PG2P

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/TOY7PG2PF3NVMHVQAQPA2GATD6 \
  | 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: 9bb1f79b4f2edb561eb0041e0d18131fbff2cb13b3af87864f459676d5e66338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b567db90818b027fe7d7a1cb47e53a5a083c2f675c7253eba1c0fcc2c2051f97",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-10-31T04:04:28Z",
    "title_canon_sha256": "b6bb86227c79814e55160b564542ce0f3bdd6f65680a2e0a6626e3566b52708b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09782",
    "kind": "arxiv",
    "version": 2
  }
}