Pith Number

pith:5TL3FGDC

pith:2023:5TL3FGDCKHZ3YVUSZEMBNEQY5H

not attested not anchored not stored refs pending

Extended codes and deep holes of MDS codes

Cunsheng Ding, Tingfang Chen, Yansheng Wu

arxiv:2312.05534 v1 · 2023-12-09 · 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{5TL3FGDCKHZ3YVUSZEMBNEQY5H}

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	2026-07-05T07:22:28.664280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecd7b2986251f3bc5692c918169218e9f771e9b5eac303660f7aa88c535110b4

Aliases

arxiv: 2312.05534 · arxiv_version: 2312.05534v1 · doi: 10.48550/arxiv.2312.05534 · pith_short_12: 5TL3FGDCKHZ3 · pith_short_16: 5TL3FGDCKHZ3YVUS · pith_short_8: 5TL3FGDC

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/5TL3FGDCKHZ3YVUSZEMBNEQY5H \
  | 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: ecd7b2986251f3bc5692c918169218e9f771e9b5eac303660f7aa88c535110b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1a9a54c9fe1e9059ba9cf13cd876c9de61018569e59852a3e6cc22e73cc9e5e",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2023-12-09T10:55:11Z",
    "title_canon_sha256": "7fa40f385c51fa442d5e4dd154b6038f6d2ec682d4cbc04b4085416f7a08eef0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.05534",
    "kind": "arxiv",
    "version": 1
  }
}