Pith Number

pith:KHEAR4QE

pith:2017:KHEAR4QEUF67C5XYINZ7STPTUX

not attested not anchored not stored refs pending

Equally spaced collinear points in Euclidean Ramsey theory

Andrii Arman, Sergei Tsaturian

arxiv:1705.04640 v2 · 2017-05-12 · 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{KHEAR4QEUF67C5XYINZ7STPTUX}

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	2026-05-18T00:44:22.908519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51c808f204a17df176f84373f94df3a5e326f1d9200470aed47fc2061513a22f

Aliases

arxiv: 1705.04640 · arxiv_version: 1705.04640v2 · doi: 10.48550/arxiv.1705.04640 · pith_short_12: KHEAR4QEUF67 · pith_short_16: KHEAR4QEUF67C5XY · pith_short_8: KHEAR4QE

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/KHEAR4QEUF67C5XYINZ7STPTUX \
  | 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: 51c808f204a17df176f84373f94df3a5e326f1d9200470aed47fc2061513a22f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd1c1fae4776387bf5605bb57c5e1bc3ee2da3a5394f97a677446bd1342f7af2",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-12T16:02:24Z",
    "title_canon_sha256": "0ece025427f54f070e64d485e70bcbe84a43c8204b36d73ebe91561ddbd569ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04640",
    "kind": "arxiv",
    "version": 2
  }
}