Pith Number

pith:J3OJ5B2D

pith:2020:J3OJ5B2DOYROZPO3NMBK3LRYID

not attested not anchored not stored refs pending

Polar Coded Diversity on Block Fading Channels via Polar Spectrum

Kai Niu, Yan Li

arxiv:2003.13320 v1 · 2020-03-30 · 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{J3OJ5B2DOYROZPO3NMBK3LRYID}

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	2026-07-05T03:04:39.616836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4edc9e87437622ecbddb6b02adae3840f070aec34f880c15a7e05bfac6d84b64

Aliases

arxiv: 2003.13320 · arxiv_version: 2003.13320v1 · doi: 10.48550/arxiv.2003.13320 · pith_short_12: J3OJ5B2DOYRO · pith_short_16: J3OJ5B2DOYROZPO3 · pith_short_8: J3OJ5B2D

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/J3OJ5B2DOYROZPO3NMBK3LRYID \
  | 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: 4edc9e87437622ecbddb6b02adae3840f070aec34f880c15a7e05bfac6d84b64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0099dfa3bb1837f0df8ef0edc0cacadb7046d847db467a13dc3f47f6328d42c8",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2020-03-30T10:12:14Z",
    "title_canon_sha256": "06f3a0cbb8a59301cc90667941d4aab2c86f723f82c6379ddfe6a5a9cbf84bda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.13320",
    "kind": "arxiv",
    "version": 1
  }
}