Pith Number

pith:PWHBXWHV

pith:2011:PWHBXWHVTUWO5PFOS36JJTX5B2

not attested not anchored not stored refs pending

Polar Codes with Mixed-Kernels

Noam Presman, Ofer Shapira, Simon Litsyn

arxiv:1107.0478 v3 · 2011-07-03 · 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{PWHBXWHVTUWO5PFOS36JJTX5B2}

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	2026-05-18T02:20:37.323668Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d8e1bd8f59d2ceebcae96fc94cefd0e83af0c15959f9cb224e2a88cdfbe6266

Aliases

arxiv: 1107.0478 · arxiv_version: 1107.0478v3 · doi: 10.48550/arxiv.1107.0478 · pith_short_12: PWHBXWHVTUWO · pith_short_16: PWHBXWHVTUWO5PFO · pith_short_8: PWHBXWHV

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/PWHBXWHVTUWO5PFOS36JJTX5B2 \
  | 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: 7d8e1bd8f59d2ceebcae96fc94cefd0e83af0c15959f9cb224e2a88cdfbe6266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b6c2ac00834e5ab934e3a63f5f109e29d38e5e2a217fd3b902815b562b14615",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-07-03T17:45:57Z",
    "title_canon_sha256": "6efa61bfb3e0eca490f103eb60993b801631377d0e94cdebe7096117a9424cda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0478",
    "kind": "arxiv",
    "version": 3
  }
}