Pith Number

pith:WBLTCTO2

pith:2016:WBLTCTO2HAO6Z52RRVV6QL6V7N

not attested not anchored not stored refs pending

Construction of polar codes for arbitrary discrete memoryless channels

Alexander Barg, Min Ye, Talha Cihad Gulcu

arxiv:1603.05736 v2 · 2016-03-18 · 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{WBLTCTO2HAO6Z52RRVV6QL6V7N}

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	2026-05-18T00:34:00.065368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b057314dda381decf7518d6be82fd5fb7c70e2773d73a6b67edb2b0ee0657ab7

Aliases

arxiv: 1603.05736 · arxiv_version: 1603.05736v2 · doi: 10.48550/arxiv.1603.05736 · pith_short_12: WBLTCTO2HAO6 · pith_short_16: WBLTCTO2HAO6Z52R · pith_short_8: WBLTCTO2

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/WBLTCTO2HAO6Z52RRVV6QL6V7N \
  | 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: b057314dda381decf7518d6be82fd5fb7c70e2773d73a6b67edb2b0ee0657ab7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dff0156d5012151984453e6670927f9e59511588ef60ce22e0e2ada856550918",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-03-18T00:34:10Z",
    "title_canon_sha256": "2952eeff2c9d02276eef4793bc66257671ff38b32ccb42c8d61a9747e33f8641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05736",
    "kind": "arxiv",
    "version": 2
  }
}