Pith Number

pith:YKNFLVYQ

pith:2022:YKNFLVYQTVS6MMW2QUDQI7BZAC

not attested not anchored not stored refs pending

Ramsey-Tur\'an Problems with small independence numbers

Cassie Murley, Ce Chen, Grace McCourt, J\'ozsef Balogh

arxiv:2207.10545 v2 · 2022-07-21 · 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{YKNFLVYQTVS6MMW2QUDQI7BZAC}

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	2026-07-05T06:37:10.700843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c29a55d7109d65e632da8507047c39008fd6c594fd0f9de1a5c4b805eb530bbf

Aliases

arxiv: 2207.10545 · arxiv_version: 2207.10545v2 · doi: 10.48550/arxiv.2207.10545 · pith_short_12: YKNFLVYQTVS6 · pith_short_16: YKNFLVYQTVS6MMW2 · pith_short_8: YKNFLVYQ

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/YKNFLVYQTVS6MMW2QUDQI7BZAC \
  | 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: c29a55d7109d65e632da8507047c39008fd6c594fd0f9de1a5c4b805eb530bbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6242792bc9efb21d50cb27f0bbfe31010f8131fad387971a4a6cf80a93ebb829",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-07-21T15:42:12Z",
    "title_canon_sha256": "b0d517aeb5a7477e96664d92f4d4615ad18f8842960d4f6d08f64bba99abad97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.10545",
    "kind": "arxiv",
    "version": 2
  }
}