Pith Number

pith:5QACEPNI

pith:2019:5QACEPNIWRVUB35YRFW3RWY2YG

not attested not anchored not stored refs pending

More on the extremal number of subdivisions

David Conlon, Joonkyung Lee, Oliver Janzer

arxiv:1903.10631 v2 · 2019-03-25 · 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{5QACEPNIWRVUB35YRFW3RWY2YG}

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

Many Turan exponents via subdivisions

Receipt and verification

First computed	2026-07-05T00:58:02.609029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec00223da8b46b40efb8896db8db1ac184577b3b5b34724d7dd4b7ca66f1362b

Aliases

arxiv: 1903.10631 · arxiv_version: 1903.10631v2 · doi: 10.48550/arxiv.1903.10631 · pith_short_12: 5QACEPNIWRVU · pith_short_16: 5QACEPNIWRVUB35Y · pith_short_8: 5QACEPNI

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/5QACEPNIWRVUB35YRFW3RWY2YG \
  | 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: ec00223da8b46b40efb8896db8db1ac184577b3b5b34724d7dd4b7ca66f1362b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00b0a5a044fb2c79d6d9868c29ca7b84695cfd59f3e1ba5b763dde3034657c6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-25T23:16:03Z",
    "title_canon_sha256": "3c595052045f0bdb550d265cb3b42a73be2fc31ff06b4b7b1efbf7b658aca8a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10631",
    "kind": "arxiv",
    "version": 2
  }
}