Pith Number

pith:ZZY2K4EY

pith:2026:ZZY2K4EYY274DKDQFXSEKFJ2DA

not attested not anchored not stored refs pending

Recursive upper bounds for the vertex online Ramsey game with applications to hypergraph Ramsey numbers

D\'aniel Dob\'ak, Eion Mulrenin

arxiv:2605.16607 v1 · 2026-05-15 · 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{ZZY2K4EYY274DKDQFXSEKFJ2DA}

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	2026-05-20T00:02:32.226580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce71a57098c6bfc1a8702de445153a183da4f2b561934694aef29f7d329e624e

Aliases

arxiv: 2605.16607 · arxiv_version: 2605.16607v1 · doi: 10.48550/arxiv.2605.16607 · pith_short_12: ZZY2K4EYY274 · pith_short_16: ZZY2K4EYY274DKDQ · pith_short_8: ZZY2K4EY

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/ZZY2K4EYY274DKDQFXSEKFJ2DA \
  | 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: ce71a57098c6bfc1a8702de445153a183da4f2b561934694aef29f7d329e624e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10b4d1499250b30fc7f7d9961afd6e32816ae428e4f9547210b69aac53e8053b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-15T20:16:13Z",
    "title_canon_sha256": "502810ea3e07de135457b7bf5dad88349b0dc80825aa142237c313e21f72b108"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16607",
    "kind": "arxiv",
    "version": 1
  }
}