Pith Number

pith:G7ZLWKS5

pith:2020:G7ZLWKS5QC3XX3CSOFXBAREBJA

not attested not anchored not stored refs pending

Connectivity and choosability of graphs with no $K_t$ minor

Luke Postle, Sergey Norin

arxiv:2004.10367 v1 · 2020-04-22 · 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{G7ZLWKS5QC3XX3CSOFXBAREBJA}

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	2026-07-05T00:57:28.374907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37f2bb2a5d80b77bec52716e10448148326067b0f819d6e721d9ce0e9d2a7107

Aliases

arxiv: 2004.10367 · arxiv_version: 2004.10367v1 · doi: 10.48550/arxiv.2004.10367 · pith_short_12: G7ZLWKS5QC3X · pith_short_16: G7ZLWKS5QC3XX3CS · pith_short_8: G7ZLWKS5

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/G7ZLWKS5QC3XX3CSOFXBAREBJA \
  | 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: 37f2bb2a5d80b77bec52716e10448148326067b0f819d6e721d9ce0e9d2a7107

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4594818f9f868edb3b77b27bfd59e06f3ebc9a80697b5d00bab2e039608448c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-04-22T01:58:10Z",
    "title_canon_sha256": "444fe5f7244107cf2f3152ca5a8d9e607809e835ec0ea4e13eb4894d07d4c86b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.10367",
    "kind": "arxiv",
    "version": 1
  }
}