Pith Number

pith:33374KZ5

pith:2017:33374KZ5PQVQPJF7BQXLWXNBQ3

not attested not anchored not stored refs pending

Tilings of the plane with unit area triangles of bounded diameter

Andrey Kupavskii, G\'abor Tardos, J\'anos Pach

arxiv:1712.03118 v2 · 2017-12-08 · math.CO · cs.DM · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33374KZ5PQVQPJF7BQXLWXNBQ3}

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	2026-05-18T00:24:22.146991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

def7fe2b3d7c2b07a4bf0c2ebb5da186fd4f62197ce138936286f91d05cb7f06

Aliases

arxiv: 1712.03118 · arxiv_version: 1712.03118v2 · doi: 10.48550/arxiv.1712.03118 · pith_short_12: 33374KZ5PQVQ · pith_short_16: 33374KZ5PQVQPJF7 · pith_short_8: 33374KZ5

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/33374KZ5PQVQPJF7BQXLWXNBQ3 \
  | 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: def7fe2b3d7c2b07a4bf0c2ebb5da186fd4f62197ce138936286f91d05cb7f06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "788fda1396710cebf45bd485d3af4af5171ccc36015c154fb55315997d08e5bf",
    "cross_cats_sorted": [
      "cs.DM",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-08T15:18:54Z",
    "title_canon_sha256": "ec3c913714141cc716c2b207e5f09589d91fa9e010fc63d36749a56d86344855"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03118",
    "kind": "arxiv",
    "version": 2
  }
}