Pith Number

pith:D6FO45DQ

pith:2010:D6FO45DQ3LZD6PXT5JTZ5QQY72

not attested not anchored not stored refs pending

Point sets that minimize $(\le k)$-edges, 3-decomposable drawings, and the rectilinear crossing number of $K_{30}$

C. Hern\'andez-V\'elez, C. Villalobos, J. Lea\~nos, M. Cetina

arxiv:1009.4736 v2 · 2010-09-23 · 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{D6FO45DQ3LZD6PXT5JTZ5QQY72}

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	2026-05-17T23:47:44.705524Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f8aee7470daf23f3ef3ea679ec218feaa761ecff46887760d4a4859f740802d

Aliases

arxiv: 1009.4736 · arxiv_version: 1009.4736v2 · doi: 10.48550/arxiv.1009.4736 · pith_short_12: D6FO45DQ3LZD · pith_short_16: D6FO45DQ3LZD6PXT · pith_short_8: D6FO45DQ

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/D6FO45DQ3LZD6PXT5JTZ5QQY72 \
  | 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: 1f8aee7470daf23f3ef3ea679ec218feaa761ecff46887760d4a4859f740802d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b52a240feeab06ca98e0099fbffa6c33e70bfecd89a28d97babcd0f5eb32653c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-23T23:07:53Z",
    "title_canon_sha256": "50a6e3fa7e40621b3a540a85437873809c021cdb9733ba89937b2ec0f401ad2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4736",
    "kind": "arxiv",
    "version": 2
  }
}