Pith Number

pith:WMIODF3I

pith:2018:WMIODF3IB2V6LZZ5TZLIKI7GEV

not attested not anchored not stored refs pending

Midrange crossing constants for graphs classes

\'Eva Czabarka, Josiah Reiswig, L\'aszl\'o Sz\'ekely, Zhiyu Wang

arxiv:1811.08071 v1 · 2018-11-20 · 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{WMIODF3IB2V6LZZ5TZLIKI7GEV}

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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

Some remarks on the midrange crossing constant

Receipt and verification

First computed	2026-05-18T00:00:16.953952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b310e197680eabe5e73d9e568523e6256f676738a641c67e700bf266dd094dff

Aliases

arxiv: 1811.08071 · arxiv_version: 1811.08071v1 · doi: 10.48550/arxiv.1811.08071 · pith_short_12: WMIODF3IB2V6 · pith_short_16: WMIODF3IB2V6LZZ5 · pith_short_8: WMIODF3I

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/WMIODF3IB2V6LZZ5TZLIKI7GEV \
  | 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: b310e197680eabe5e73d9e568523e6256f676738a641c67e700bf266dd094dff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "174a5f627e55251614c070f2bb6fcb3a66b580347604d9560e8ccd30f991f5aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-20T04:37:53Z",
    "title_canon_sha256": "efb4da0f7a55b952aad82cf271b4ef5e2de770d58e4a50fa2756d6e4c573a3cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.08071",
    "kind": "arxiv",
    "version": 1
  }
}