Pith Number

pith:CCTGMEIJ

pith:2014:CCTGMEIJ7PVDMIX7TLBGT5JP4F

not attested not anchored not stored refs pending

Line arrangements with the maximal number of triple points

Agata Glowka, Grzegorz Malara, Halszka Tutaj-Gasinska, Justyna Szpond, Lucja Farnik, Magdalena Lampa-Baczynska, Marcin Dumnicki, Tomasz Szemberg

arxiv:1406.6662 v1 · 2014-06-25 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCTGMEIJ7PVDMIX7TLBGT5JP4F}

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	2026-05-18T01:17:26.042756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10a6661109fbea3622ff9ac269f52fe15840facb93af4c43f8ca46e9bf73d407

Aliases

arxiv: 1406.6662 · arxiv_version: 1406.6662v1 · doi: 10.48550/arxiv.1406.6662 · pith_short_12: CCTGMEIJ7PVD · pith_short_16: CCTGMEIJ7PVDMIX7 · pith_short_8: CCTGMEIJ

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/CCTGMEIJ7PVDMIX7TLBGT5JP4F \
  | 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: 10a6661109fbea3622ff9ac269f52fe15840facb93af4c43f8ca46e9bf73d407

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bac92eb392186e266cb4e6e4057f118f9028be949cbe81a445a3ad81e138e63",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-06-25T18:47:59Z",
    "title_canon_sha256": "0fda91efa66376862d3de0994345341f9821b1605870a1b07e4f23032d3a57c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.6662",
    "kind": "arxiv",
    "version": 1
  }
}