Pith Number

pith:MQKMXKYY

pith:2014:MQKMXKYYADDQRSYK4IFPZ4GSKJ

not attested not anchored not stored refs pending

Metric dimensions of minor excluded graphs and minor exclusion in groups

David Rosenthal, Mikhail I. Ostrovskii

arxiv:1409.3287 v1 · 2014-09-11 · math.GR · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQKMXKYYADDQRSYK4IFPZ4GSKJ}

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	2026-05-18T02:43:01.731466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6414cbab1800c708cb0ae20afcf0d25241009f94d4d4a49a3f406f8321ef83d4

Aliases

arxiv: 1409.3287 · arxiv_version: 1409.3287v1 · doi: 10.48550/arxiv.1409.3287 · pith_short_12: MQKMXKYYADDQ · pith_short_16: MQKMXKYYADDQRSYK · pith_short_8: MQKMXKYY

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/MQKMXKYYADDQRSYK4IFPZ4GSKJ \
  | 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: 6414cbab1800c708cb0ae20afcf0d25241009f94d4d4a49a3f406f8321ef83d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a5dff9b51ce9eb7044042eba7ecceecabff0a67a03dc6b96500ebccbc099a08",
    "cross_cats_sorted": [
      "math.CO",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-09-11T01:06:12Z",
    "title_canon_sha256": "4a6aefed3338d1f796a7e55de2c85d7a79c3e8a0d8c2104939e6cbf46ba10420"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3287",
    "kind": "arxiv",
    "version": 1
  }
}