Pith Number

pith:DOTZV55D

pith:2023:DOTZV55DUEJLJ4DON7OERSTM3P

not attested not anchored not stored refs pending

The hitting time of clique factors

Annika Heckel, Marc Kaufmann, Matija Pasch, Noela M\"uller

arxiv:2302.08340 v1 · 2023-02-16 · math.CO · cs.DM · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOTZV55DUEJLJ4DON7OERSTM3P}

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	2026-07-05T05:42:37.027015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ba79af7a3a112b4f06e6fdc48ca6cdbd0ea9d777fc5c2e92edd2e981e5b2870

Aliases

arxiv: 2302.08340 · arxiv_version: 2302.08340v1 · doi: 10.48550/arxiv.2302.08340 · pith_short_12: DOTZV55DUEJL · pith_short_16: DOTZV55DUEJLJ4DO · pith_short_8: DOTZV55D

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/DOTZV55DUEJLJ4DON7OERSTM3P \
  | 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: 1ba79af7a3a112b4f06e6fdc48ca6cdbd0ea9d777fc5c2e92edd2e981e5b2870

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "667c20bdb86ddc055e54763c9f19b7ccfece2d77098798bc7c80db0e1cc31b0f",
    "cross_cats_sorted": [
      "cs.DM",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-02-16T14:50:20Z",
    "title_canon_sha256": "cbb3c686715aa5df1128dbbbefeb17fedee7d22c8f6d46e5a79335957262feaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.08340",
    "kind": "arxiv",
    "version": 1
  }
}