Pith Number

pith:DZVMDN57

pith:2026:DZVMDN57DB6VRIY3OEWYLCGQCQ

not attested not anchored not stored refs pending

Ramsey-Tur\'{a}n theory for partially-ordered sets

Gyula O.H. Katona, Yaping Mao

arxiv:2605.31546 v1 · 2026-05-29 · 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{DZVMDN57DB6VRIY3OEWYLCGQCQ}

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	2026-06-01T02:04:12.067904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e6ac1b7bf187d58a31b712d8588d014286c0cfa35a1a87915eae8ce3e145fee

Aliases

arxiv: 2605.31546 · arxiv_version: 2605.31546v1 · doi: 10.48550/arxiv.2605.31546 · pith_short_12: DZVMDN57DB6V · pith_short_16: DZVMDN57DB6VRIY3 · pith_short_8: DZVMDN57

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/DZVMDN57DB6VRIY3OEWYLCGQCQ \
  | 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: 1e6ac1b7bf187d58a31b712d8588d014286c0cfa35a1a87915eae8ce3e145fee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20d247032bdb95f3e1d8900c69d350c712429615b9092e75be7ccfafbf3191ae",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-29T17:01:16Z",
    "title_canon_sha256": "caa1c7daa1fa06b03b0f8785f0e044d7e55b9cbaa11b7eb80b6388e20d85576f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31546",
    "kind": "arxiv",
    "version": 1
  }
}