Pith Number

pith:N6Q2IUBR

pith:2023:N6Q2IUBRARZWQMMLA2O2MJOOLP

not attested not anchored not stored refs pending

Size-Ramsey numbers of structurally sparse graphs

David Munh\'a Correia, Kalina Petrova, Marc Kaufmann, Nemanja Dragani\'c, Raphael Steiner

arxiv:2307.12028 v2 · 2023-07-22 · 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{N6Q2IUBRARZWQMMLA2O2MJOOLP}

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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.

Cited by

3 papers in Pith

Tree-partitions of graphs with given pathwidth

Tree decompositions with small width, spread, order and degree

Tree-partitions and small-spread tree-decompositions

Receipt and verification

First computed	2026-07-05T06:47:25.185343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fa1a45031047368318b069da625ce5be224729169ce8596ac48e08b338ccb75

Aliases

arxiv: 2307.12028 · arxiv_version: 2307.12028v2 · doi: 10.48550/arxiv.2307.12028 · pith_short_12: N6Q2IUBRARZW · pith_short_16: N6Q2IUBRARZWQMML · pith_short_8: N6Q2IUBR

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/N6Q2IUBRARZWQMMLA2O2MJOOLP \
  | 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: 6fa1a45031047368318b069da625ce5be224729169ce8596ac48e08b338ccb75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76746fba471c9246d64875daf97d4cad7c1430b98d3c6632ca4a979210963e0f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-07-22T09:19:30Z",
    "title_canon_sha256": "029475f929f224fc87be88ad818b8905aae40519585e8534d55234ba9379ef37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.12028",
    "kind": "arxiv",
    "version": 2
  }
}