Pith Number

pith:XMCYDJQK

pith:2025:XMCYDJQK7LSMULM5LJDU5YR3MT

not attested not anchored not stored refs pending

Sharp thresholds for spanning regular subgraphs

Maksim Zhukovskii

arxiv:2502.14794 v3 · 2025-02-20 · 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{XMCYDJQK7LSMULM5LJDU5YR3MT}

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

Spanning triangulations in random graphs

Receipt and verification

First computed	2026-07-05T11:26:48.035698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb0581a60afae4ca2d9d5a474ee23b64f540bbd8822970bd30042e82d5a31fcd

Aliases

arxiv: 2502.14794 · arxiv_version: 2502.14794v3 · doi: 10.48550/arxiv.2502.14794 · pith_short_12: XMCYDJQK7LSM · pith_short_16: XMCYDJQK7LSMULM5 · pith_short_8: XMCYDJQK

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/XMCYDJQK7LSMULM5LJDU5YR3MT \
  | 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: bb0581a60afae4ca2d9d5a474ee23b64f540bbd8822970bd30042e82d5a31fcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32c67e7f6155fc356286af317a68c22c9cb2689f5fe7829518f1f667bdc0e8e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-02-20T18:14:47Z",
    "title_canon_sha256": "ec1027285121a7caebad2a41559b44dc8007196e9dbe084425b783326c9e8e25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.14794",
    "kind": "arxiv",
    "version": 3
  }
}