Pith Number

pith:M6G5CZNB

pith:2023:M6G5CZNBLJ4OFKIMQBN34B7SP4

not attested not anchored not stored refs pending

Crowns in pseudo-random graphs and Hamilton cycles in their squares

Michael Krivelevich

arxiv:2305.08442 v1 · 2023-05-15 · 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{M6G5CZNBLJ4OFKIMQBN34B7SP4}

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

Tree tilings in random regular graphs

Receipt and verification

First computed	2026-07-05T06:10:01.652476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

678dd165a15a78e2a90c805bbe07f27f0dfa68abd3d25dc29d0453bc9652084c

Aliases

arxiv: 2305.08442 · arxiv_version: 2305.08442v1 · doi: 10.48550/arxiv.2305.08442 · pith_short_12: M6G5CZNBLJ4O · pith_short_16: M6G5CZNBLJ4OFKIM · pith_short_8: M6G5CZNB

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/M6G5CZNBLJ4OFKIMQBN34B7SP4 \
  | 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: 678dd165a15a78e2a90c805bbe07f27f0dfa68abd3d25dc29d0453bc9652084c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "975f4366f680ab123d592e47250189099e307cb55e0372e6b122d7b61a24d461",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-05-15T08:40:16Z",
    "title_canon_sha256": "60def816fa5bb6bb25b4fbe86ea3774827b0d9f221ae7cbd5d37a463e17d4431"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.08442",
    "kind": "arxiv",
    "version": 1
  }
}