Pith Number

pith:HZGAKO37

pith:2018:HZGAKO376U2OPNFKO3T6X5USPA

not attested not anchored not stored refs pending

Vertex Tur\'an problems for the oriented hypercube

Abhishek Methuku, Bal\'azs Patk\'os, D\'aniel Gerbner, D\'aniel T. Nagy, M\'at\'e Vizer

arxiv:1807.06866 v1 · 2018-07-18 · 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{HZGAKO376U2OPNFKO3T6X5USPA}

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	2026-05-18T00:10:25.513812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e4c053b7ff534e7b4aa76e7ebf692780270168d032239416c4dcdeb85030e07

Aliases

arxiv: 1807.06866 · arxiv_version: 1807.06866v1 · doi: 10.48550/arxiv.1807.06866 · pith_short_12: HZGAKO376U2O · pith_short_16: HZGAKO376U2OPNFK · pith_short_8: HZGAKO37

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/HZGAKO376U2OPNFKO3T6X5USPA \
  | 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: 3e4c053b7ff534e7b4aa76e7ebf692780270168d032239416c4dcdeb85030e07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "155324b1b1d3ca4e6a99e89458dd4437e8a870d8c0f862b0534cf321dc0f999d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-18T11:13:37Z",
    "title_canon_sha256": "04d42810e69acbbe755ae74f404ee2404c49a43427b6a0ffdb8ac7a1fdd6b093"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06866",
    "kind": "arxiv",
    "version": 1
  }
}