Pith Number

pith:SYC6YKEF

pith:2026:SYC6YKEFSLL5EB3DLIBPEG7BYU

not attested not anchored not stored refs pending

A Resolution of Erd\H{o}s Problem 550 on Tree versus Complete Multipartite Ramsey Numbers

Eric Li (Trinity College, University of Cambridge)

arxiv:2606.23659 v1 · 2026-06-22 · 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{SYC6YKEFSLL5EB3DLIBPEG7BYU}

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	2026-06-23T03:14:33.951789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9605ec288592d7d207635a02f21be1c505e1edbb3641638a4a1dc26fcbd89003

Aliases

arxiv: 2606.23659 · arxiv_version: 2606.23659v1 · doi: 10.48550/arxiv.2606.23659 · pith_short_12: SYC6YKEFSLL5 · pith_short_16: SYC6YKEFSLL5EB3D · pith_short_8: SYC6YKEF

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/SYC6YKEFSLL5EB3DLIBPEG7BYU \
  | 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: 9605ec288592d7d207635a02f21be1c505e1edbb3641638a4a1dc26fcbd89003

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2276e71f0ed41f0e02cc73739bbd31db710b77366f2a700b916922849ebd05f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-22T17:45:05Z",
    "title_canon_sha256": "e71bd9021ec222cf88ed53818adf8f4fa8bab1bcb306fd034eede6d42641eba7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23659",
    "kind": "arxiv",
    "version": 1
  }
}