Pith Number

pith:WUUXCE2M

pith:2022:WUUXCE2MKPMAPQCRJ5ZP25UIUA

not attested not anchored not stored refs pending

Matching Cuts in Graphs of High Girth and H-Free Graphs

Bernard Ries, Carl Feghali, Daniel Paulusma, Felicia Lucke

arxiv:2212.12317 v5 · 2022-12-23 · math.CO · cs.CC · cs.DM · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUUXCE2MKPMAPQCRJ5ZP25UIUA}

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	2026-07-05T07:09:45.546345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b52971134c53d807c0514f72fd7688a008a6ad1c32b207be5e24873ea0567007

Aliases

arxiv: 2212.12317 · arxiv_version: 2212.12317v5 · doi: 10.48550/arxiv.2212.12317 · pith_short_12: WUUXCE2MKPMA · pith_short_16: WUUXCE2MKPMAPQCR · pith_short_8: WUUXCE2M

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/WUUXCE2MKPMAPQCRJ5ZP25UIUA \
  | 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: b52971134c53d807c0514f72fd7688a008a6ad1c32b207be5e24873ea0567007

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1604b5afc3b30ba00126782e3c9e2e719425c2fe8fd543ce3f0042cc98659393",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-12-23T13:18:52Z",
    "title_canon_sha256": "c8ece74c652ee2da0a69ba4f94d9c1e4f854cfdcabd21a50d6d138de282e67a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.12317",
    "kind": "arxiv",
    "version": 5
  }
}