Pith Number

pith:74HEYJR3

pith:2020:74HEYJR3AYXQVRGAO2DFID33GT

not attested not anchored not stored refs pending

Sphere Constraint based Enumeration Methods to Analyze the Minimum Weight Distribution of Polar Codes

Chao Dong, Jincheng Dai, Jinnan Piao, Kai Niu

arxiv:2003.06773 v1 · 2020-03-15 · 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{74HEYJR3AYXQVRGAO2DFID33GT}

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	2026-07-05T00:48:06.577922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff0e4c263b062f0ac4c07686540f7b34cfe60fc7548d5c08297434c048d2e3c8

Aliases

arxiv: 2003.06773 · arxiv_version: 2003.06773v1 · doi: 10.48550/arxiv.2003.06773 · pith_short_12: 74HEYJR3AYXQ · pith_short_16: 74HEYJR3AYXQVRGA · pith_short_8: 74HEYJR3

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/74HEYJR3AYXQVRGAO2DFID33GT \
  | 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: ff0e4c263b062f0ac4c07686540f7b34cfe60fc7548d5c08297434c048d2e3c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05af496e236cbb3ce4e1dbfc9e9b32509f8208b1960b3b4e7ef9bc03906db995",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2020-03-15T07:34:29Z",
    "title_canon_sha256": "1a3615ad1828b0757424c3658cb000a34872b6a37c2ecc39a358c28874366d6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.06773",
    "kind": "arxiv",
    "version": 1
  }
}