Pith Number

pith:4SULDNX7

pith:2018:4SULDNX72H7PFGDBFAR7DWANP2

not attested not anchored not stored refs pending

Some upper bounds on ordinal-valued Ramsey numbers for colourings of pairs

Keita Yokoyama, Leszek Aleksander Ko{\l}odziejczyk

arxiv:1807.00616 v2 · 2018-07-02 · math.CO · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4SULDNX72H7PFGDBFAR7DWANP2}

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	2026-05-18T00:01:14.829466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4a8b1b6ffd1fef298612823f1d80d7ebc0c9881060cb5d08a438611a0ccdd05

Aliases

arxiv: 1807.00616 · arxiv_version: 1807.00616v2 · doi: 10.48550/arxiv.1807.00616 · pith_short_12: 4SULDNX72H7P · pith_short_16: 4SULDNX72H7PFGDB · pith_short_8: 4SULDNX7

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/4SULDNX72H7PFGDBFAR7DWANP2 \
  | 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: e4a8b1b6ffd1fef298612823f1d80d7ebc0c9881060cb5d08a438611a0ccdd05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6be67ab4ded0c38e55ee229021c29cc783589fae756f67d41ec5405dc7ba166f",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-02T12:07:55Z",
    "title_canon_sha256": "6cbc7d7157dfe848053a5db7468403310e023a66694b6c2e157bddfa5dc53c1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.00616",
    "kind": "arxiv",
    "version": 2
  }
}