Pith Number

pith:X2YUXVRW

pith:2017:X2YUXVRWV5E5YDC6TCCECZRRQB

not attested not anchored not stored refs pending

The multipartite Ramsey number for the 3-path of length three

Joanna Polcyn, Tomasz Luczak

arxiv:1706.08937 v1 · 2017-06-27 · 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{X2YUXVRWV5E5YDC6TCCECZRRQB}

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	2026-05-18T00:41:30.516095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beb14bd636af49dc0c5e98844166318061346f2cdaab54cbf0f6d3ab345d7e08

Aliases

arxiv: 1706.08937 · arxiv_version: 1706.08937v1 · doi: 10.48550/arxiv.1706.08937 · pith_short_12: X2YUXVRWV5E5 · pith_short_16: X2YUXVRWV5E5YDC6 · pith_short_8: X2YUXVRW

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/X2YUXVRWV5E5YDC6TCCECZRRQB \
  | 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: beb14bd636af49dc0c5e98844166318061346f2cdaab54cbf0f6d3ab345d7e08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66bd5d6072e2a0196acb12a17bc68e651bcd20d6f55f38a99cef0aca02ecf628",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-06-27T16:47:33Z",
    "title_canon_sha256": "deb4ede6abb1f1d9ce65e400b653cbb379a096abddc94aa11c8b95ffb7d2f77c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08937",
    "kind": "arxiv",
    "version": 1
  }
}