Pith Number

pith:YYDLJTFJ

pith:2018:YYDLJTFJ3VYMCLWAFZW3ONNQLU

not attested not anchored not stored refs pending

A Note On Universal Point Sets for Planar Graphs

Hendrik Schrezenmaier, Manfred Scheucher, Raphael Steiner

arxiv:1811.06482 v3 · 2018-11-15 · 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{YYDLJTFJ3VYMCLWAFZW3ONNQLU}

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.

Cited by

1 paper in Pith

An Omega(n^2) Lower Bound for Random Universal Sets for Planar Graphs

Receipt and verification

First computed	2026-07-05T00:07:05.829451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c606b4cca9dd70c12ec02e6db735b05d3ebf0468849486821bff7c71f1bb7ba5

Aliases

arxiv: 1811.06482 · arxiv_version: 1811.06482v3 · doi: 10.48550/arxiv.1811.06482 · pith_short_12: YYDLJTFJ3VYM · pith_short_16: YYDLJTFJ3VYMCLWA · pith_short_8: YYDLJTFJ

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/YYDLJTFJ3VYMCLWAFZW3ONNQLU \
  | 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: c606b4cca9dd70c12ec02e6db735b05d3ebf0468849486821bff7c71f1bb7ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2316cc4e46184e4bec94c5fbdf0f528b8ed75c7d1def6a7b48af1b4fb8bbe45f",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-11-15T17:16:50Z",
    "title_canon_sha256": "350a521e5e70ed70b1b6722418fb3f4150edca07165173ae0ad29c2f85b5fdd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06482",
    "kind": "arxiv",
    "version": 3
  }
}