Pith Number

pith:MMG7OQZM

pith:2018:MMG7OQZMFYUDJ4XQAVXQEP44TY

not attested not anchored not stored refs pending

Minimal Ramsey graphs for cyclicity

Anusch Taraz, Damian Reding

arxiv:1807.11890 v1 · 2018-07-31 · 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{MMG7OQZMFYUDJ4XQAVXQEP44TY}

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	2026-05-18T00:09:20.830404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

630df7432c2e2834f2f0056f023f9c9e1867d041ff6e7043b27217eea7e31bff

Aliases

arxiv: 1807.11890 · arxiv_version: 1807.11890v1 · doi: 10.48550/arxiv.1807.11890 · pith_short_12: MMG7OQZMFYUD · pith_short_16: MMG7OQZMFYUDJ4XQ · pith_short_8: MMG7OQZM

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/MMG7OQZMFYUDJ4XQAVXQEP44TY \
  | 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: 630df7432c2e2834f2f0056f023f9c9e1867d041ff6e7043b27217eea7e31bff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60d654641d6420c6ba7c39aee57bb383f3d8c3cd6a82ce2084f5919258406cf8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-31T16:06:50Z",
    "title_canon_sha256": "1ee10ed672ec208818c580a9616cc1e6329b68d2f0a294b33cf0d7915450e187"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.11890",
    "kind": "arxiv",
    "version": 1
  }
}