Pith. sign in
Pith Number

pith:QS7R4GM4

pith:2022:QS7R4GM4MCP7LDCV7K4XRUPOUH
not attested not anchored not stored refs pending

A generalization of Tur\'{a}n's theorem

Domagoj Brada\v{c}

arxiv:2205.08923 v1 · 2022-05-18 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{QS7R4GM4MCP7LDCV7K4XRUPOUH}

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

4 papers in Pith

Receipt and verification
First computed 2026-07-05T04:24:30.966850Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

84bf1e199c609ff58c55fab978d1eea1cc405baefaca4714a2b6d5bc48dbd41f

Aliases

arxiv: 2205.08923 · arxiv_version: 2205.08923v1 · doi: 10.48550/arxiv.2205.08923 · pith_short_12: QS7R4GM4MCP7 · pith_short_16: QS7R4GM4MCP7LDCV · pith_short_8: QS7R4GM4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/QS7R4GM4MCP7LDCV7K4XRUPOUH \
  | 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: 84bf1e199c609ff58c55fab978d1eea1cc405baefaca4714a2b6d5bc48dbd41f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4a0cfe6ce2947ed8b20afeb313b02d7f5080c1c6adec5be3485cc3210f363b52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-05-18T13:38:42Z",
    "title_canon_sha256": "b8e8bf8e66035b9d55d3132e3f7a39531b53c6a46add3ca2bc2f7dbdf28dbb60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.08923",
    "kind": "arxiv",
    "version": 1
  }
}