Pith Number

pith:NHSBHGH6

pith:2017:NHSBHGH6JBF4WCSCGEUYBJBSD3

not attested not anchored not stored refs pending

Critical Vertices and Edges in $H$-free Graphs

Bernard Ries, Christophe Picouleau, Dani\"el Paulusma

arxiv:1706.09043 v1 · 2017-06-27 · cs.CC · cs.DM · 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{NHSBHGH6JBF4WCSCGEUYBJBSD3}

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	2026-05-18T00:41:20.058743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69e41398fe484bcb0a42312980a4321ec47f463844ae191ff1a64fca3e988491

Aliases

arxiv: 1706.09043 · arxiv_version: 1706.09043v1 · doi: 10.48550/arxiv.1706.09043 · pith_short_12: NHSBHGH6JBF4 · pith_short_16: NHSBHGH6JBF4WCSC · pith_short_8: NHSBHGH6

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/NHSBHGH6JBF4WCSCGEUYBJBSD3 \
  | 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: 69e41398fe484bcb0a42312980a4321ec47f463844ae191ff1a64fca3e988491

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9123b1e095ccc91c875bde5445aa69b9ab49c20154b1ace1e5f1bd71029ab39",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2017-06-27T20:58:26Z",
    "title_canon_sha256": "b436579e99118ca50a578e4268b3b8511eb7b475a91fb126c3433359148b63a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09043",
    "kind": "arxiv",
    "version": 1
  }
}