Pith Number

pith:VAGFBGE5

pith:2019:VAGFBGE5DAPHSALSNVTJVYJCI3

not attested not anchored not stored refs pending

Minimal Representations of Order Types by Geometric Graphs

Alexander Pilz, Birgit Vogtenhuber, Emo Welzl, Irene Parada, Jan Kyn\v{c}l, Manfred Scheucher, Martin Balko, Michael Hoffmann, Oswin Aichholzer, Pavel Valtr, Wolfgang Mulzer

arxiv:1908.05124 v2 · 2019-08-14 · 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{VAGFBGE5DAPHSALSNVTJVYJCI3}

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	2026-07-05T02:00:42.520809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a80c50989d181e7901726d669ae12246f7238cbaca8a49d3a75b9db9d19b1b4f

Aliases

arxiv: 1908.05124 · arxiv_version: 1908.05124v2 · doi: 10.48550/arxiv.1908.05124 · pith_short_12: VAGFBGE5DAPH · pith_short_16: VAGFBGE5DAPHSALS · pith_short_8: VAGFBGE5

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/VAGFBGE5DAPHSALSNVTJVYJCI3 \
  | 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: a80c50989d181e7901726d669ae12246f7238cbaca8a49d3a75b9db9d19b1b4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c71567aca7c6c779621add7a72187551658a39ded5d2342cbe4336379a891d9e",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-14T13:44:17Z",
    "title_canon_sha256": "e0e65720f2e873a93ea40e1809d1d7ae0a0bf276a9c80e46cdf2c0bdad7a21c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05124",
    "kind": "arxiv",
    "version": 2
  }
}