Pith Number

pith:YB42KUT7

pith:2026:YB42KUT7FAN7ESGOS4HUAYAKBI

not attested not anchored not stored refs pending

On the Ramsey number of a graph obtained by attaching a pendant to a path with length 1 modulo 4

Gabriel Razgon

arxiv:2607.19554 v1 · 2026-07-21 · 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{YB42KUT7FAN7ESGOS4HUAYAKBI}

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	2026-07-23T00:23:56.339627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c079a5527f281bf248ce970f40600a0a1075f5636ea67c6f2990bb5f33bc9f1e

Aliases

arxiv: 2607.19554 · arxiv_version: 2607.19554v1 · doi: 10.48550/arxiv.2607.19554 · pith_short_12: YB42KUT7FAN7 · pith_short_16: YB42KUT7FAN7ESGO · pith_short_8: YB42KUT7

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/YB42KUT7FAN7ESGOS4HUAYAKBI \
  | 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: c079a5527f281bf248ce970f40600a0a1075f5636ea67c6f2990bb5f33bc9f1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca7a9508b074ca958f5b32b355b633be67d3dcd943e4751a7fba8aa5ca1be4b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-21T20:13:46Z",
    "title_canon_sha256": "21624e16426ad68bdfea84b32cc34cad09779bac1a52306dd96195092ce7dbae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19554",
    "kind": "arxiv",
    "version": 1
  }
}