Pith Number

pith:DGL7XKCU

pith:2025:DGL7XKCUGQU3CIEAU664X3UIZ6

not attested not anchored not stored refs pending

On the threshold for triangulations inside convex polygons

Brett Kolesnik, Georgii Zakharov, Maksim Zhukovskii

arxiv:2509.10160 v1 · 2025-09-12 · math.PR · 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{DGL7XKCUGQU3CIEAU664X3UIZ6}

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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

Spanning triangulations in random graphs

Receipt and verification

First computed	2026-07-05T12:11:04.157564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1997fba8543429b12080a7bdcbee88cfb32358cf7942344aa25e5829b75cac19

Aliases

arxiv: 2509.10160 · arxiv_version: 2509.10160v1 · doi: 10.48550/arxiv.2509.10160 · pith_short_12: DGL7XKCUGQU3 · pith_short_16: DGL7XKCUGQU3CIEA · pith_short_8: DGL7XKCU

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/DGL7XKCUGQU3CIEAU664X3UIZ6 \
  | 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: 1997fba8543429b12080a7bdcbee88cfb32358cf7942344aa25e5829b75cac19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2b03c96526e600d42ab996078d56e1cbb239b7e6a1dc3d4c0292e56c4019f5b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-09-12T11:40:37Z",
    "title_canon_sha256": "6dc1e33bde13d4766f65b8b2dcd0bc59812d1fd9cab083e052134456d8563101"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.10160",
    "kind": "arxiv",
    "version": 1
  }
}