Pith Number

pith:JRZKUIY3

pith:2016:JRZKUIY3O7MRVGXOIIMADT32XJ

not attested not anchored not stored refs pending

Minimal digraph obstructions for small matrices

C\'esar Hern\'andez-Cruz, Pavol Hell

arxiv:1605.09587 v1 · 2016-05-31 · 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{JRZKUIY3O7MRVGXOIIMADT32XJ}

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	2026-05-18T01:13:10.540415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c72aa231b77d91a9aee421801cf7aba5d00305500bcb9c1110610f034aab05d

Aliases

arxiv: 1605.09587 · arxiv_version: 1605.09587v1 · doi: 10.48550/arxiv.1605.09587 · pith_short_12: JRZKUIY3O7MR · pith_short_16: JRZKUIY3O7MRVGXO · pith_short_8: JRZKUIY3

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/JRZKUIY3O7MRVGXOIIMADT32XJ \
  | 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: 4c72aa231b77d91a9aee421801cf7aba5d00305500bcb9c1110610f034aab05d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04f7a9166e318cb721574238fcc2a4bb9409f3fc71832348088c2ee96857ba01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-31T11:44:56Z",
    "title_canon_sha256": "4d4933875f2ad1286af87dcf5ad456f896395f466d95e161e7cec2ea65673f54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09587",
    "kind": "arxiv",
    "version": 1
  }
}