Pith Number

pith:22VNV2RR

pith:2015:22VNV2RR2NEISPCDS3ADCK6SR4

not attested not anchored not stored refs pending

Typical sumsets of linear codes

Jingge Zhu, Michael Gastpar

arxiv:1511.08435 v3 · 2015-11-26 · cs.IT · math.CO · 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{22VNV2RR2NEISPCDS3ADCK6SR4}

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	2026-05-18T01:11:35.172382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6aadaea31d348893c4396c0312bd28f20fcf5c8635ee2d4ce7532560a21bfa3

Aliases

arxiv: 1511.08435 · arxiv_version: 1511.08435v3 · doi: 10.48550/arxiv.1511.08435 · pith_short_12: 22VNV2RR2NEI · pith_short_16: 22VNV2RR2NEISPCD · pith_short_8: 22VNV2RR

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/22VNV2RR2NEISPCDS3ADCK6SR4 \
  | 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: d6aadaea31d348893c4396c0312bd28f20fcf5c8635ee2d4ce7532560a21bfa3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9a0c4e3f4003d48a15bc56a57e55a47ffac50877d3ba844469c4c446514c763",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-11-26T16:01:19Z",
    "title_canon_sha256": "96b59bcb54f165d046c2ac57ab9c3ca088b41ca98f6ebf7e04902983a002cec1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08435",
    "kind": "arxiv",
    "version": 3
  }
}