Pith Number

pith:FMYLFKEG

pith:2022:FMYLFKEGONY3GEJFO2O6O5JEV4

not attested not anchored not stored refs pending

Two Ramsey-Tur\'{a}n numbers involving triangles

Qizhong Lin, Xinyu Hu

arxiv:2212.07234 v3 · 2022-12-14 · 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{FMYLFKEGONY3GEJFO2O6O5JEV4}

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	2026-07-05T06:20:39.243177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b30b2a8867371b31125769de77524af2f116bd1d56898a0d4764f3d070840b5

Aliases

arxiv: 2212.07234 · arxiv_version: 2212.07234v3 · doi: 10.48550/arxiv.2212.07234 · pith_short_12: FMYLFKEGONY3 · pith_short_16: FMYLFKEGONY3GEJF · pith_short_8: FMYLFKEG

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/FMYLFKEGONY3GEJFO2O6O5JEV4 \
  | 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: 2b30b2a8867371b31125769de77524af2f116bd1d56898a0d4764f3d070840b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cb990cac48d24ad7e17557d2da9aa0172bf6155e4622923dc9de8d4bd7ba681",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-12-14T14:16:45Z",
    "title_canon_sha256": "0561305e6217412e6b823e32df8fbd83fe2953ee704a891ecb0b1bf7c105071e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.07234",
    "kind": "arxiv",
    "version": 3
  }
}