Pith Number

pith:4IGIZFRQ

pith:2025:4IGIZFRQELYPOZCISX3G3BCN57

not attested not anchored not stored refs pending

On saturated triangulation-free convex geometric graphs

Chaya Keller, David Garber, Olga Nissenbaum, Shimon Aviram

arxiv:2508.12789 v1 · 2025-08-18 · math.CO · cs.CG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4IGIZFRQELYPOZCISX3G3BCN57}

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	2026-07-05T11:55:27.182966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e20c8c963022f0f7644895f66d844defc7bceb95168e82968c79787e149797bc

Aliases

arxiv: 2508.12789 · arxiv_version: 2508.12789v1 · doi: 10.48550/arxiv.2508.12789 · pith_short_12: 4IGIZFRQELYP · pith_short_16: 4IGIZFRQELYPOZCI · pith_short_8: 4IGIZFRQ

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/4IGIZFRQELYPOZCISX3G3BCN57 \
  | 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: e20c8c963022f0f7644895f66d844defc7bceb95168e82968c79787e149797bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03f0161b0366795d21e238c3039056373d0042d965909f0a99cf346791459724",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-18T10:05:47Z",
    "title_canon_sha256": "90d86e49a9685363bb10e64e7da5c2a62544799f64ef8c94eb31605228fbb787"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.12789",
    "kind": "arxiv",
    "version": 1
  }
}