Pith Number

pith:PCSWSRQE

pith:2019:PCSWSRQEKJXOOKYDKPR6JVOUEY

not attested not anchored not stored refs pending

An Ongoing Project to Improve the Rectilinear and the Pseudolinear Crossing Constants

Carlos Hidalgo-Toscano, Frank Duque, Oscar E. Garc\'ia-Quintero, Oswin Aichholzer, Ruy Fabila-Monroy

arxiv:1907.07796 v5 · 2019-07-17 · 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{PCSWSRQEKJXOOKYDKPR6JVOUEY}

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

On the geometric $k$-colored crossing number of $K_n$

Receipt and verification

First computed	2026-07-05T01:19:36.022397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78a5694604526ee72b0353e3e4d5d426229819f1bbed0ee7dec207c03af20c85

Aliases

arxiv: 1907.07796 · arxiv_version: 1907.07796v5 · doi: 10.48550/arxiv.1907.07796 · pith_short_12: PCSWSRQEKJXO · pith_short_16: PCSWSRQEKJXOOKYD · pith_short_8: PCSWSRQE

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/PCSWSRQEKJXOOKYDKPR6JVOUEY \
  | 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: 78a5694604526ee72b0353e3e4d5d426229819f1bbed0ee7dec207c03af20c85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96ea107ef613af6a30a57f6c5008e0c948bc9320a882a30ff040a5e23ee03a0e",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-17T22:13:28Z",
    "title_canon_sha256": "cebda227656d1d0c596fee5efbdcdb2fe383886ef6ec4bb68ba676ac37c1954b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07796",
    "kind": "arxiv",
    "version": 5
  }
}