Pith Number

pith:PCZFMI65

pith:2017:PCZFMI65WRRTCG4HQOZBM2XCPR

not attested not anchored not stored refs pending

Feedback vertex number of Sierpi\'{n}ski-type graphs

Baoyindureng Wu, Biao Zhao, LiLi Yuan

arxiv:1710.01947 v1 · 2017-10-05 · 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{PCZFMI65WRRTCG4HQOZBM2XCPR}

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	2026-05-18T00:33:37.999789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b25623ddb463311b8783b2166ae27c52c3a4675385e576547fb932354e1527

Aliases

arxiv: 1710.01947 · arxiv_version: 1710.01947v1 · doi: 10.48550/arxiv.1710.01947 · pith_short_12: PCZFMI65WRRT · pith_short_16: PCZFMI65WRRTCG4H · pith_short_8: PCZFMI65

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/PCZFMI65WRRTCG4HQOZBM2XCPR \
  | 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: 78b25623ddb463311b8783b2166ae27c52c3a4675385e576547fb932354e1527

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0a201e3beb568f20bf88c418e1627a6ac6c1b53796596b33b715e5eb263f714",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-05T10:14:12Z",
    "title_canon_sha256": "a444c9dc89b8fc3c485495996494e6443d95b4ac1a187b13adcf142c41d389b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01947",
    "kind": "arxiv",
    "version": 1
  }
}