Pith Number

pith:O5L2BPZD

pith:2016:O5L2BPZDSX76M7ZQ47EFG3D3HQ

not attested not anchored not stored refs pending

A note on the Singleton bounds for codes over finite rings

Heqian Xu, Yongsheng Tang, Zhonghua Sun

arxiv:1611.09058 v1 · 2016-11-28 · 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{O5L2BPZDSX76M7ZQ47EFG3D3HQ}

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	2026-05-18T00:56:29.323655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7757a0bf2395ffe67f30e7c8536c7b3c292f19b2f5c0d51000354f125d9aa1b9

Aliases

arxiv: 1611.09058 · arxiv_version: 1611.09058v1 · doi: 10.48550/arxiv.1611.09058 · pith_short_12: O5L2BPZDSX76 · pith_short_16: O5L2BPZDSX76M7ZQ · pith_short_8: O5L2BPZD

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/O5L2BPZDSX76M7ZQ47EFG3D3HQ \
  | 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: 7757a0bf2395ffe67f30e7c8536c7b3c292f19b2f5c0d51000354f125d9aa1b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f762fb553ad1221095b4463b5659b458aa7c1b9c24e4b3669acc8b446248a44",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-11-28T10:43:00Z",
    "title_canon_sha256": "e70d010d38e0ebbcfee6dca810a465dbdc2ee4e49c73b998a628d35e7e3228de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.09058",
    "kind": "arxiv",
    "version": 1
  }
}