Pith Number

pith:CRURHDCQ

pith:2021:CRURHDCQX3KST3ZLPH3OFW4HVN

not attested not anchored not stored refs pending

Constructing 5-chromatic unit distance graphs embedded in the Euclidean plane and two-dimensional spheres

Anna Neopryatnaya, Eugene Dergachev, Vsevolod Voronov

arxiv:2106.11824 v4 · 2021-06-07 · math.CO · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CRURHDCQX3KST3ZLPH3OFW4HVN}

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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

A Moser-spindle-free 5-chromatic unit distance graph on 2131 vertices in the plane

Receipt and verification

First computed	2026-07-05T05:09:12.345480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1469138c50bed529ef2b79f6e2db87ab733dfd4dd25db3cc4f6481a606fc9353

Aliases

arxiv: 2106.11824 · arxiv_version: 2106.11824v4 · doi: 10.48550/arxiv.2106.11824 · pith_short_12: CRURHDCQX3KS · pith_short_16: CRURHDCQX3KST3ZL · pith_short_8: CRURHDCQ

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/CRURHDCQX3KST3ZLPH3OFW4HVN \
  | 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: 1469138c50bed529ef2b79f6e2db87ab733dfd4dd25db3cc4f6481a606fc9353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "595c009e2745a9dd212541e3c7d685e4977e72e1bcd47955ef15abbbb98444f6",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-06-07T14:18:45Z",
    "title_canon_sha256": "46731086b3c08da65181477b749a1593bf00c72f17a176afae5804a096c4cf05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.11824",
    "kind": "arxiv",
    "version": 4
  }
}