Pith Number

pith:M3IXZSLO

pith:2016:M3IXZSLOJDLW23PDPAXMEFAXN2

not attested not anchored not stored refs pending

Polar Codes and Polar Lattices for Independent Fading Channels

Cong Ling, Ling Liu

arxiv:1601.04967 v3 · 2016-01-19 · 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{M3IXZSLOJDLW23PDPAXMEFAXN2}

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	2026-05-18T01:21:15.388788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66d17cc96e48d76d6de3782ec214176eadf31ac0030e2684e231308e05e3165e

Aliases

arxiv: 1601.04967 · arxiv_version: 1601.04967v3 · doi: 10.48550/arxiv.1601.04967 · pith_short_12: M3IXZSLOJDLW · pith_short_16: M3IXZSLOJDLW23PD · pith_short_8: M3IXZSLO

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/M3IXZSLOJDLW23PDPAXMEFAXN2 \
  | 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: 66d17cc96e48d76d6de3782ec214176eadf31ac0030e2684e231308e05e3165e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a1105a6537ac579b3e8669155bce22f23507be8d9154aef0ccab7f0e2b9ce1",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-01-19T15:55:57Z",
    "title_canon_sha256": "713b520e376d148fa70d03db3e278419a8fa9be303dd7569e5e5e8ac40fd56e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04967",
    "kind": "arxiv",
    "version": 3
  }
}