Pith Number

pith:LAA75EDP

pith:2025:LAA75EDPLU4O4HBO4FWF7A4VWX

not attested not anchored not stored refs pending

Off-Diagonal Ramsey Numbers for Linear Hypergraphs

Hung-Hsun Hans Yu, Jiaxi Nie, Xiaoyu He, Yuval Wigderson

arxiv:2507.05641 v2 · 2025-07-08 · 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{LAA75EDPLU4O4HBO4FWF7A4VWX}

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	2026-07-05T11:34:11.851368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5801fe906f5d38ee1c2ee16c5f8395b5c65dfb2234dee53b2b8a1b77ec39e66a

Aliases

arxiv: 2507.05641 · arxiv_version: 2507.05641v2 · doi: 10.48550/arxiv.2507.05641 · pith_short_12: LAA75EDPLU4O · pith_short_16: LAA75EDPLU4O4HBO · pith_short_8: LAA75EDP

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/LAA75EDPLU4O4HBO4FWF7A4VWX \
  | 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: 5801fe906f5d38ee1c2ee16c5f8395b5c65dfb2234dee53b2b8a1b77ec39e66a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35870cedbe1ba05f7e6d12cef8cf36049a7c1407e0a4158b8ca749a69f046fb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-07-08T03:38:01Z",
    "title_canon_sha256": "e075ef0540bed4243f406b0dbb6ee7a1dd275a5faaece6321a2bb5d379b89d80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.05641",
    "kind": "arxiv",
    "version": 2
  }
}