Pith Number

pith:4LLNGEVA

pith:2020:4LLNGEVAMF33DLKGVSYGUN63EG

not attested not anchored not stored refs pending

On the number of minimal codewords in codes generated by the adjacency matrix of a graph

Sascha Kurz

arxiv:2006.02975 v1 · 2020-06-04 · 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{4LLNGEVAMF33DLKGVSYGUN63EG}

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	2026-07-05T01:08:02.124864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2d6d312a06177b1ad46acb06a37db21b5fe3de1670b535ce9b5367fa104875e

Aliases

arxiv: 2006.02975 · arxiv_version: 2006.02975v1 · doi: 10.48550/arxiv.2006.02975 · pith_short_12: 4LLNGEVAMF33 · pith_short_16: 4LLNGEVAMF33DLKG · pith_short_8: 4LLNGEVA

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/4LLNGEVAMF33DLKGVSYGUN63EG \
  | 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: e2d6d312a06177b1ad46acb06a37db21b5fe3de1670b535ce9b5367fa104875e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4dbde5fda5121dcf2ec224d389fe4c133324ad6c4a3fe633692c09457d8218d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-06-04T16:02:38Z",
    "title_canon_sha256": "35a4cb40c52803508ff4fb1a2b110a16a2b0ab40e72757a7ff3963ce0721236d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.02975",
    "kind": "arxiv",
    "version": 1
  }
}