Pith Number

pith:MQCLOTMG

pith:2026:MQCLOTMGANDKJJPZJ52DNQDJ2A

not attested not anchored not stored refs pending

Cubic graphs, $S$-minors and conformal minors

C\^andida Nunes da Silva, Cl\'audio L. Lucchesi, Nishad Kothari, Orlando Lee

arxiv:2606.04173 v1 · 2026-06-02 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQCLOTMGANDKJJPZJ52DNQDJ2A}

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	2026-06-04T01:08:18.950457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6404b74d860346a4a5f94f7436c069d00ff719ba8ec84326f23e4038322cd935

Aliases

arxiv: 2606.04173 · arxiv_version: 2606.04173v1 · doi: 10.48550/arxiv.2606.04173 · pith_short_12: MQCLOTMGANDK · pith_short_16: MQCLOTMGANDKJJPZ · pith_short_8: MQCLOTMG

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/MQCLOTMGANDKJJPZJ52DNQDJ2A \
  | 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: 6404b74d860346a4a5f94f7436c069d00ff719ba8ec84326f23e4038322cd935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4be85444cd93d153534db89cfb137d624851902f1e16e5c356705c22ad636e3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-02T19:37:17Z",
    "title_canon_sha256": "d6d479792cc7b0f6714edecd4ea35a3d6b3d34d96447141c6f9fc934a50afc5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04173",
    "kind": "arxiv",
    "version": 1
  }
}