Pith Number

pith:TYDOZZIO

pith:2022:TYDOZZIOB5K2ABW5E3ACLAY436

not attested not anchored not stored refs pending

Directed graphs with lower orientation Ramsey thresholds

Bruno Pasqualotto Cavalar, Gabriel Ferreira Barros, Guilherme Oliveira Mota, T\'assio Naia, Yoshiharu Kohayakawa

arxiv:2211.07033 v2 · 2022-11-13 · 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{TYDOZZIOB5K2ABW5E3ACLAY436}

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	2026-07-05T08:32:28.054734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e06ece50e0f55a006dd26c025831cdfaa7c055ec969cf269b8e60d03f1586b8

Aliases

arxiv: 2211.07033 · arxiv_version: 2211.07033v2 · doi: 10.48550/arxiv.2211.07033 · pith_short_12: TYDOZZIOB5K2 · pith_short_16: TYDOZZIOB5K2ABW5 · pith_short_8: TYDOZZIO

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/TYDOZZIOB5K2ABW5E3ACLAY436 \
  | 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: 9e06ece50e0f55a006dd26c025831cdfaa7c055ec969cf269b8e60d03f1586b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93d3d3ca5e8f7130cf9cccf03d940239239fff5fc29de29b044c6e4d26f3a3c8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-11-13T22:27:39Z",
    "title_canon_sha256": "958b83f7b0e782f4d983ccd3332eb3c9331b0ab6f2d9809bf4b7971157d6c8fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.07033",
    "kind": "arxiv",
    "version": 2
  }
}