Pith Number

pith:NCXEROR5

pith:2020:NCXEROR5LUDIQYAMGLCEMD2VKC

not attested not anchored not stored refs pending

A Finite Graph Approach to the Probabilistic Hadwiger-Nelson Problem

Haydn Gwyn, Jacob Stavrianos

arxiv:2008.07987 v1 · 2020-08-18 · 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{NCXEROR5LUDIQYAMGLCEMD2VKC}

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

Neural Discovery in Mathematics: Do Machines Dream of Colored Planes?

Receipt and verification

First computed	2026-07-05T01:27:57.691212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68ae48ba3d5d0688600c32c4460f55508cbbbb4afde935ba615f6a078e24336e

Aliases

arxiv: 2008.07987 · arxiv_version: 2008.07987v1 · doi: 10.48550/arxiv.2008.07987 · pith_short_12: NCXEROR5LUDI · pith_short_16: NCXEROR5LUDIQYAM · pith_short_8: NCXEROR5

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/NCXEROR5LUDIQYAMGLCEMD2VKC \
  | 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: 68ae48ba3d5d0688600c32c4460f55508cbbbb4afde935ba615f6a078e24336e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33b05d3e84de71068cfeb5d94a4b5d7a00764a5b9dd85830bdb3ced99014a0b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-08-18T15:32:44Z",
    "title_canon_sha256": "09616749faca5a72ce6e13d6ba50203f602d0feab032515721399a33e7a0d12b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.07987",
    "kind": "arxiv",
    "version": 1
  }
}