Pith Number

pith:MWMS7XIH

pith:2026:MWMS7XIH44JNURNBZR7GSGIMIG

not attested not anchored not stored refs pending

New Tower-Type Lower Bounds for Hypergraph Ramsey Numbers

Guanghui Wang, Hanzhi Bai, Longma Du, Ruilong Liu, Xinyu Hu

arxiv:2606.24198 v1 · 2026-06-23 · 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{MWMS7XIH44JNURNBZR7GSGIMIG}

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	2026-06-24T01:14:45.552276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65992fdd07e712da45a1cc7e69190c419816827bdb11e7a08cfb8ee0331b4e99

Aliases

arxiv: 2606.24198 · arxiv_version: 2606.24198v1 · doi: 10.48550/arxiv.2606.24198 · pith_short_12: MWMS7XIH44JN · pith_short_16: MWMS7XIH44JNURNB · pith_short_8: MWMS7XIH

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/MWMS7XIH44JNURNBZR7GSGIMIG \
  | 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: 65992fdd07e712da45a1cc7e69190c419816827bdb11e7a08cfb8ee0331b4e99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "accc9987b57deca2eb70dba83860d0de9a28e23bafc353e3d4bdffe53b6602a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-23T06:36:28Z",
    "title_canon_sha256": "1de2ac6b5bf15dae3b0c96f87bf3e733f1359ada2b2d3eebc16530f436c359a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24198",
    "kind": "arxiv",
    "version": 1
  }
}