Pith Number

pith:CYXD3TIY

pith:2015:CYXD3TIYOVJC3AWRHTB7FMREGK

not attested not anchored not stored refs pending

On the minimum degree of minimal Ramsey graphs for multiple colours

Andrey Grinshpun, Anita Liebenau, Jacob Fox, Tibor Szabo, Yury Person

arxiv:1502.02881 v1 · 2015-02-10 · 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{CYXD3TIYOVJC3AWRHTB7FMREGK}

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	2026-05-18T02:27:30.531007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

162e3dcd1875522d82d13cc3f2b22432aae0994c02c04302a3b8efdeb7f5bd42

Aliases

arxiv: 1502.02881 · arxiv_version: 1502.02881v1 · doi: 10.48550/arxiv.1502.02881 · pith_short_12: CYXD3TIYOVJC · pith_short_16: CYXD3TIYOVJC3AWR · pith_short_8: CYXD3TIY

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/CYXD3TIYOVJC3AWRHTB7FMREGK \
  | 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: 162e3dcd1875522d82d13cc3f2b22432aae0994c02c04302a3b8efdeb7f5bd42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8f7b14969e8975fc6e1a43016e284edc56db82fa7fcba82680cbdfadc189fb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-10T12:30:47Z",
    "title_canon_sha256": "dba157183713804bb01c7cd5c4b9adc0adc172476aebc994d5bab30901dcf8ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02881",
    "kind": "arxiv",
    "version": 1
  }
}