Pith Number

pith:V5IVQYF7

pith:2017:V5IVQYF7DQB7I4ESKDP7ADIZ7M

not attested not anchored not stored refs pending

The complexity of computing the cylindrical and the $t$-circle crossing number of a graph

Carolina Medina, C\'esar Hern\'andez-V\'elez, Frank Duque, Hern\'an Gonz\'alez-Aguilar, Jes\'us Lea\~nos

arxiv:1708.01942 v1 · 2017-08-06 · 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{V5IVQYF7DQB7I4ESKDP7ADIZ7M}

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	2026-05-17T23:47:44.518817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af515860bf1c03f4709250dff00d19fb02d993e003e681790d558929976d2d19

Aliases

arxiv: 1708.01942 · arxiv_version: 1708.01942v1 · doi: 10.48550/arxiv.1708.01942 · pith_short_12: V5IVQYF7DQB7 · pith_short_16: V5IVQYF7DQB7I4ES · pith_short_8: V5IVQYF7

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/V5IVQYF7DQB7I4ESKDP7ADIZ7M \
  | 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: af515860bf1c03f4709250dff00d19fb02d993e003e681790d558929976d2d19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a433d1d7336b1cf63b8903e464a726a283ddc1c389e234f8b126b099cbd9546",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-06T22:16:27Z",
    "title_canon_sha256": "43acceaffe4bf26bea0274fc5a27b13f2dc5205a0296e11af3930a4d52e377a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.01942",
    "kind": "arxiv",
    "version": 1
  }
}