Pith Number

pith:B3LY7KK6

pith:2013:B3LY7KK6CUVX4DFNXNVXLX5ENB

not attested not anchored not stored refs pending

Counting Triangulations and other Crossing-free Structures via Onion Layers

Karl Bringmann, Radu Curticapean, Saurabh Ray, Victor Alvarez

arxiv:1312.4628 v1 · 2013-12-17 · cs.CG · cs.CC · cs.DS · 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{B3LY7KK6CUVX4DFNXNVXLX5ENB}

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	2026-05-18T03:04:23.464111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ed78fa95e152b7e0cadbb6b75dfa4685ccb00bd3aa8888bcd9fd9d40b1d54e6

Aliases

arxiv: 1312.4628 · arxiv_version: 1312.4628v1 · doi: 10.48550/arxiv.1312.4628 · pith_short_12: B3LY7KK6CUVX · pith_short_16: B3LY7KK6CUVX4DFN · pith_short_8: B3LY7KK6

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/B3LY7KK6CUVX4DFNXNVXLX5ENB \
  | 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: 0ed78fa95e152b7e0cadbb6b75dfa4685ccb00bd3aa8888bcd9fd9d40b1d54e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc1f72615256e07124d6e3dde2b4cd85e35b85807c53a1abb0b27b298d466736",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2013-12-17T03:41:41Z",
    "title_canon_sha256": "8de900827e48998b736feb761ea65daa5d7bed48e3d3ee014f92cecefb606049"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4628",
    "kind": "arxiv",
    "version": 1
  }
}