Pith Number

pith:QGY7UGXZ

pith:2018:QGY7UGXZFROOSUVEN22KQNSSZD

not attested not anchored not stored refs pending

Ordered and convex geometric trees with linear extremal function

Alexandr Kostochka, Dhruv Mubayi, Jacques Verstra\"ete, Zolt\'an F\"uredi

arxiv:1812.05750 v2 · 2018-12-14 · 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{QGY7UGXZFROOSUVEN22KQNSSZD}

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	2026-05-17T23:54:58.583777Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81b1fa1af92c5ce952a46eb4a83652c8c5ddf8ba89bbc7190102870b740414b7

Aliases

arxiv: 1812.05750 · arxiv_version: 1812.05750v2 · doi: 10.48550/arxiv.1812.05750 · pith_short_12: QGY7UGXZFROO · pith_short_16: QGY7UGXZFROOSUVE · pith_short_8: QGY7UGXZ

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/QGY7UGXZFROOSUVEN22KQNSSZD \
  | 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: 81b1fa1af92c5ce952a46eb4a83652c8c5ddf8ba89bbc7190102870b740414b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4ad253b6be8ff68744664f2f7be15ce0bf780e4d3b1240b8742118e9a32bf23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-14T01:01:01Z",
    "title_canon_sha256": "0b417664c96992375580cb41b7c9adc9b6b0ee606a77c456f7a2589ad80118e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05750",
    "kind": "arxiv",
    "version": 2
  }
}