Pith Number

pith:YESYHV4O

pith:2014:YESYHV4O3TK6MECKNM2HKOFM76

not attested not anchored not stored refs pending

Nested Polar Codes Achieve the Shannon Rate-Distortion Function and the Shannon Capacity

Aria G. Sahebi, S. Sandeep Pradhan

arxiv:1401.6482 v1 · 2014-01-25 · 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{YESYHV4O3TK6MECKNM2HKOFM76}

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	2026-05-18T03:01:01.674944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c12583d78edcd5e6104a6b347538acff9689268b29ddeed6ca3b4e83c5071a73

Aliases

arxiv: 1401.6482 · arxiv_version: 1401.6482v1 · doi: 10.48550/arxiv.1401.6482 · pith_short_12: YESYHV4O3TK6 · pith_short_16: YESYHV4O3TK6MECK · pith_short_8: YESYHV4O

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/YESYHV4O3TK6MECKNM2HKOFM76 \
  | 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: c12583d78edcd5e6104a6b347538acff9689268b29ddeed6ca3b4e83c5071a73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9add2b13226ef1dd445d9011580f6a6b419813c62d46cc989e97b33da4dae1b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-01-25T01:26:53Z",
    "title_canon_sha256": "f74fac5f8bd6eb9787b24db9c34fab784dc094e36f92ecc23709269ddc6cd106"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6482",
    "kind": "arxiv",
    "version": 1
  }
}