Pith Number

pith:37WTE4X7

pith:2026:37WTE4X7GSNIVP5JSLYTV34KYT

not attested not anchored not stored refs pending

On Ramsey-type problems for paths and cycles with few colour changes

Anusch Taraz, Dennis Clemens, Fabian Hamann, Jozef Skokan, Julia B\"ottcher, Peter Allen

arxiv:2607.03243 v1 · 2026-07-03 · 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{37WTE4X7GSNIVP5JSLYTV34KYT}

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	2026-07-07T01:16:47.720027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfed3272ff349a8abfa992f13aef8ac4d8bcaa2c05412f8fdc238266444a96d7

Aliases

arxiv: 2607.03243 · arxiv_version: 2607.03243v1 · doi: 10.48550/arxiv.2607.03243 · pith_short_12: 37WTE4X7GSNI · pith_short_16: 37WTE4X7GSNIVP5J · pith_short_8: 37WTE4X7

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/37WTE4X7GSNIVP5JSLYTV34KYT \
  | 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: dfed3272ff349a8abfa992f13aef8ac4d8bcaa2c05412f8fdc238266444a96d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d777bfecc04c079de8486a5fb664cb3c1d53d566ada9abe97de3893c3b9330e8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-03T11:56:55Z",
    "title_canon_sha256": "b517c5b58791a43e06850f7e2544ea9f81db3d346f8aa0f647c3b1931e9ba418"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03243",
    "kind": "arxiv",
    "version": 1
  }
}