Pith Number

pith:7L4SAG4J

pith:2024:7L4SAG4JH7B6L6CMHRU46MIUHN

not attested not anchored not stored refs pending

Strong Brandt-Thomass\'e Theorems

Christian Reiher, Joanna Polcyn, Tomasz {\L}uczak

arxiv:2406.10745 v1 · 2024-06-15 · 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{7L4SAG4JH7B6L6CMHRU46MIUHN}

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.

Cited by

1 paper in Pith

Ramsey with purple edges

Receipt and verification

First computed	2026-07-05T08:32:21.435860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faf9201b893fc3e5f84c3c69cf31143b619509d480948cf7a454b7d8d5bc0af7

Aliases

arxiv: 2406.10745 · arxiv_version: 2406.10745v1 · doi: 10.48550/arxiv.2406.10745 · pith_short_12: 7L4SAG4JH7B6 · pith_short_16: 7L4SAG4JH7B6L6CM · pith_short_8: 7L4SAG4J

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/7L4SAG4JH7B6L6CMHRU46MIUHN \
  | 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: faf9201b893fc3e5f84c3c69cf31143b619509d480948cf7a454b7d8d5bc0af7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a826d46ccd35cc2f038b63ffafc754dc1aaf1bb31bcd51e86b1a352442cf205",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-06-15T21:53:31Z",
    "title_canon_sha256": "aa5dc49ead42011d4eeae11361649d31ac0a84424fdad62d445ad14654c02e93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.10745",
    "kind": "arxiv",
    "version": 1
  }
}