Pith Number

pith:2OW7LEKD

pith:2020:2OW7LEKDRPDPTU24ACX2BWFXEY

not attested not anchored not stored refs pending

Orientation Ramsey thresholds for cycles and cliques

Bruno Pasqualotto Cavalar, Gabriel Ferreira Barros, T\'assio Naia, Yoshiharu Kohayakawa

arxiv:2012.08632 v1 · 2020-12-15 · 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{2OW7LEKDRPDPTU24ACX2BWFXEY}

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	2026-07-05T02:00:01.580565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3adf591438bc6f9d35c00afa0d8b7261f51d257b8873425c385fd3104d0bfa0

Aliases

arxiv: 2012.08632 · arxiv_version: 2012.08632v1 · doi: 10.48550/arxiv.2012.08632 · pith_short_12: 2OW7LEKDRPDP · pith_short_16: 2OW7LEKDRPDPTU24 · pith_short_8: 2OW7LEKD

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/2OW7LEKDRPDPTU24ACX2BWFXEY \
  | 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: d3adf591438bc6f9d35c00afa0d8b7261f51d257b8873425c385fd3104d0bfa0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80ed3c1eae5fc42ec70d0d6bec2002582f815786ea3139c4369d5ec96280b7fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-12-15T21:41:16Z",
    "title_canon_sha256": "3706d048ada52f087ebf26454af0a6a2da5709060290788aee23452d140a9ad7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.08632",
    "kind": "arxiv",
    "version": 1
  }
}