Pith Number

pith:X2LAV3VP

pith:2012:X2LAV3VPYXVMKFTK6EHM7UPRQP

not attested not anchored not stored refs pending

The critical window for the classical Ramsey-Tur\'an problem

Jacob Fox, Po-Shen Loh, Yufei Zhao

arxiv:1208.3276 v3 · 2012-08-16 · 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{X2LAV3VPYXVMKFTK6EHM7UPRQP}

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	2026-05-18T01:29:29.979931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be960aeeafc5eac5166af10ecfd1f183d829f94fafdc008bf9606408971d7548

Aliases

arxiv: 1208.3276 · arxiv_version: 1208.3276v3 · doi: 10.48550/arxiv.1208.3276 · pith_short_12: X2LAV3VPYXVM · pith_short_16: X2LAV3VPYXVMKFTK · pith_short_8: X2LAV3VP

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/X2LAV3VPYXVMKFTK6EHM7UPRQP \
  | 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: be960aeeafc5eac5166af10ecfd1f183d829f94fafdc008bf9606408971d7548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "101c884c0814b8b1857766c7a49a379eb6342482c783bce8f43ff0694277a031",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-16T03:16:00Z",
    "title_canon_sha256": "f4280b0de6d8d8ae5f11e5b2846f110f6a8e5ea62034885c96e78730d27c5d76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3276",
    "kind": "arxiv",
    "version": 3
  }
}