Pith Number

pith:OZZYD76B

pith:2018:OZZYD76BKPIQKDTZCL6ACS3XGI

not attested not anchored not stored refs pending

Extremal problems on ordered and convex geometric hypergraphs

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

arxiv:1807.05104 v2 · 2018-07-13 · 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{OZZYD76BKPIQKDTZCL6ACS3XGI}

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	2026-05-18T00:10:44.116309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

767381ffc153d1050e7912fc014b77321465333fcc7bdb7f4a9f40e107da3672

Aliases

arxiv: 1807.05104 · arxiv_version: 1807.05104v2 · doi: 10.48550/arxiv.1807.05104 · pith_short_12: OZZYD76BKPIQ · pith_short_16: OZZYD76BKPIQKDTZ · pith_short_8: OZZYD76B

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/OZZYD76BKPIQKDTZCL6ACS3XGI \
  | 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: 767381ffc153d1050e7912fc014b77321465333fcc7bdb7f4a9f40e107da3672

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2d0130ab0c1dafa09d155cf8eb02b2a9c4a2a6787c8b6f133553dc6a6a2ed67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-13T14:25:56Z",
    "title_canon_sha256": "af252495ad36a5bee822bb6f6e87237c61a7c92606e7358e49a0e114a02fd156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.05104",
    "kind": "arxiv",
    "version": 2
  }
}