Pith Number

pith:GB4SF76M

pith:2015:GB4SF76MSOVIWHQHHSFWSBPJWY

not attested not anchored not stored refs pending

Capacity-Achieving Rate-Compatible Polar Codes

Dennis Hui, Ivana Mari\'c, Song-Nam Hong

arxiv:1510.01776 v2 · 2015-10-06 · 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{GB4SF76MSOVIWHQHHSFWSBPJWY}

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	2026-05-18T01:21:44.487145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

307922ffcc93aa8b1e073c8b6905e9b601fc01c6e1bf27289314c0e96fe92d14

Aliases

arxiv: 1510.01776 · arxiv_version: 1510.01776v2 · doi: 10.48550/arxiv.1510.01776 · pith_short_12: GB4SF76MSOVI · pith_short_16: GB4SF76MSOVIWHQH · pith_short_8: GB4SF76M

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/GB4SF76MSOVIWHQHHSFWSBPJWY \
  | 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: 307922ffcc93aa8b1e073c8b6905e9b601fc01c6e1bf27289314c0e96fe92d14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e832dea65327628ff51e9144623c136acec2dec01a0ba74257d6cafa4a06d892",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-10-06T23:00:02Z",
    "title_canon_sha256": "4bb85ba5341b8851614231a19fbd3a8dc7fcfe5a70b1f0304d2f47fba22d2500"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01776",
    "kind": "arxiv",
    "version": 2
  }
}