Pith Number

pith:3DHCOFLV

pith:2020:3DHCOFLVYKPLEAM6BSWBOPE4AB

not attested not anchored not stored refs pending

On tripartite common graphs

Andrzej Grzesik, Bernard Lidick\'y, Jan Volec, Joonkyung Lee

arxiv:2012.02057 v2 · 2020-12-03 · 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{3DHCOFLVYKPLEAM6BSWBOPE4AB}

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

On the threshold Ramsey multiplicity conjectures for paths and even cycles

Receipt and verification

First computed	2026-07-05T04:18:13.897096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8ce271575c29eb2019e0cac173c9c00663e586854c0ca553936b96563fe5899

Aliases

arxiv: 2012.02057 · arxiv_version: 2012.02057v2 · doi: 10.48550/arxiv.2012.02057 · pith_short_12: 3DHCOFLVYKPL · pith_short_16: 3DHCOFLVYKPLEAM6 · pith_short_8: 3DHCOFLV

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/3DHCOFLVYKPLEAM6BSWBOPE4AB \
  | 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: d8ce271575c29eb2019e0cac173c9c00663e586854c0ca553936b96563fe5899

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6200cbb7bad9f7f9e50272fc5103feec08591ed20fdcaec4988d56b0456e513",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-12-03T16:41:18Z",
    "title_canon_sha256": "4894beb3413d5f2fb76e5dc9def8f1c64c01bc7f9ea6f26a54dba7deafa37817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.02057",
    "kind": "arxiv",
    "version": 2
  }
}