Pith Number

pith:MI5P3XA6

pith:2026:MI5P3XA6UB367BWMDY3PEH5DGY

not attested not anchored not stored refs pending

The threshold for the asymmetric vertex-Ramsey property in randomly perturbed graphs

Asier Calbet R\'ipodas, Joseph Hyde, Victor Falgas-Ravry

arxiv:2606.30548 v1 · 2026-06-29 · 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{MI5P3XA6UB367BWMDY3PEH5DGY}

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	2026-06-30T02:18:19.989608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

623afddc1ea077ef86cc1e36f21fa3362b9f5df387d653ae02d685769c0d3b54

Aliases

arxiv: 2606.30548 · arxiv_version: 2606.30548v1 · doi: 10.48550/arxiv.2606.30548 · pith_short_12: MI5P3XA6UB36 · pith_short_16: MI5P3XA6UB367BWM · pith_short_8: MI5P3XA6

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/MI5P3XA6UB367BWMDY3PEH5DGY \
  | 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: 623afddc1ea077ef86cc1e36f21fa3362b9f5df387d653ae02d685769c0d3b54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15b0c0b2c4de0b52a449fc9604abde9cad2f87a5e3c3c4e4254ef6809898570d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-29T16:47:45Z",
    "title_canon_sha256": "812ba9936b0ceb45e3c1df2be6e03d46486a432786a51b6fc37879d7159c5034"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30548",
    "kind": "arxiv",
    "version": 1
  }
}