Pith Number

pith:JGKVCK7J

pith:2017:JGKVCK7JGI5ZCZMRX2EBW3RQ3K

not attested not anchored not stored refs pending

Fractional matching preclusion number of graphs

Heping Zhang, Ruizhi Lin

arxiv:1709.04188 v1 · 2017-09-13 · 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{JGKVCK7JGI5ZCZMRX2EBW3RQ3K}

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	2026-05-18T00:35:15.165256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4995512be9323b916591be881b6e30da9f376f5865d1ef0a49c5190e92c025db

Aliases

arxiv: 1709.04188 · arxiv_version: 1709.04188v1 · doi: 10.48550/arxiv.1709.04188 · pith_short_12: JGKVCK7JGI5Z · pith_short_16: JGKVCK7JGI5ZCZMR · pith_short_8: JGKVCK7J

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/JGKVCK7JGI5ZCZMRX2EBW3RQ3K \
  | 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: 4995512be9323b916591be881b6e30da9f376f5865d1ef0a49c5190e92c025db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fa74d92219534d4df985ef50650202cc1c2d8337e2a2f6f3307028f05368c1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-13T08:40:52Z",
    "title_canon_sha256": "8763ef935732991099811c15f1b2f2e684b67eb58e13498d506b90119ebebe6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.04188",
    "kind": "arxiv",
    "version": 1
  }
}