Pith Number

pith:L3QVTD73

pith:2015:L3QVTD73WLANZ47PZSSGGP6N5C

not attested not anchored not stored refs pending

Topological minors of cover graphs and dimension

Piotr Micek, Veit Wiechert

arxiv:1504.07388 v4 · 2015-04-28 · 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{L3QVTD73WLANZ47PZSSGGP6N5C}

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	2026-05-18T01:01:34.706330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ee1598ffbb2c0dcf3efcca4633fcde892e31c98fc84be6b699c79e1a2059b02

Aliases

arxiv: 1504.07388 · arxiv_version: 1504.07388v4 · doi: 10.48550/arxiv.1504.07388 · pith_short_12: L3QVTD73WLAN · pith_short_16: L3QVTD73WLANZ47P · pith_short_8: L3QVTD73

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/L3QVTD73WLANZ47PZSSGGP6N5C \
  | 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: 5ee1598ffbb2c0dcf3efcca4633fcde892e31c98fc84be6b699c79e1a2059b02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f118ef07e1a103329753e8ba320bcdc3a462c69a56581cb592085cab192ac401",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-28T09:17:14Z",
    "title_canon_sha256": "526552abbcc1658ab4f79da071c0c10b07121a2f0d24db8eb5b541454d07b005"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07388",
    "kind": "arxiv",
    "version": 4
  }
}