Pith Number

pith:I7YSGATF

pith:2018:I7YSGATFKI5E4CP24CUX5GOKAA

not attested not anchored not stored refs pending

The Crossing Number of Seq-Shellable Drawings of Complete Graphs

Lutz Oettershagen, Petra Mutzel

arxiv:1803.07515 v1 · 2018-03-20 · cs.CG · 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{I7YSGATFKI5E4CP24CUX5GOKAA}

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	2026-05-18T00:20:32.938951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47f1230265523a4e09fae0a97e99ca002788ed1d013cd2a2cc10bbffedc34810

Aliases

arxiv: 1803.07515 · arxiv_version: 1803.07515v1 · doi: 10.48550/arxiv.1803.07515 · pith_short_12: I7YSGATFKI5E · pith_short_16: I7YSGATFKI5E4CP2 · pith_short_8: I7YSGATF

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/I7YSGATFKI5E4CP24CUX5GOKAA \
  | 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: 47f1230265523a4e09fae0a97e99ca002788ed1d013cd2a2cc10bbffedc34810

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "424bb2b33a7f8d45d8eb3f57da03c2bb04f42a8d13e7e243e448be4e591ccc4d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2018-03-20T16:40:07Z",
    "title_canon_sha256": "c20853fbce5b9b1c8514377106a8ce54485932ed34c9df37f339bddcbf825373"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07515",
    "kind": "arxiv",
    "version": 1
  }
}