Pith Number

pith:DFX4XIDW

pith:2018:DFX4XIDWXJ3HMD2JASJAUHHAWD

not attested not anchored not stored refs pending

MDS matrices over small fields: A proof of the GM-MDS conjecture

Shachar Lovett

arxiv:1803.02523 v2 · 2018-03-07 · cs.DM · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFX4XIDWXJ3HMD2JASJAUHHAWD}

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	2026-05-18T00:20:29.779608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

196fcba076ba76760f4904920a1ce0b0e3fe313ff5143c1fb725d2dec015322b

Aliases

arxiv: 1803.02523 · arxiv_version: 1803.02523v2 · doi: 10.48550/arxiv.1803.02523 · pith_short_12: DFX4XIDWXJ3H · pith_short_16: DFX4XIDWXJ3HMD2J · pith_short_8: DFX4XIDW

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/DFX4XIDWXJ3HMD2JASJAUHHAWD \
  | 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: 196fcba076ba76760f4904920a1ce0b0e3fe313ff5143c1fb725d2dec015322b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79db3d1545542e6c2bf3fceef033548ec3eadb3dddab5d05b50d12f17ea1b5c8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2018-03-07T04:59:32Z",
    "title_canon_sha256": "4bc438cda0c1631125970a87afc3aebf106a2faa35fd27c10f7077cbedca74ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02523",
    "kind": "arxiv",
    "version": 2
  }
}