Pith Number

pith:HKLRR7FS

pith:2025:HKLRR7FS7CD5MNHN7AUEMUNQRD

not attested not anchored not stored refs pending

Completely Independent Spanning Trees in Split Graphs: Structural Properties and Complexity

Abdallah Skender, Mohammed Lalou, Nader Mbarek, Olivier Togni

arxiv:2512.15486 v2 · 2025-12-17 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HKLRR7FS7CD5MNHN7AUEMUNQRD}

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	2026-07-29T01:25:32.247838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a9718fcb2f887d634edf8284651b088d719f6a08ce7fb7ae9ed3c09af12eba6

Aliases

arxiv: 2512.15486 · arxiv_version: 2512.15486v2 · doi: 10.48550/arxiv.2512.15486 · pith_short_12: HKLRR7FS7CD5 · pith_short_16: HKLRR7FS7CD5MNHN · pith_short_8: HKLRR7FS

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/HKLRR7FS7CD5MNHN7AUEMUNQRD \
  | 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: 3a9718fcb2f887d634edf8284651b088d719f6a08ce7fb7ae9ed3c09af12eba6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac153be12c30813322712dbba1c54c91dd3ab7ab133de61f33bb6efc5f4580bd",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-12-17T14:36:24Z",
    "title_canon_sha256": "5e8f5a89729a15bcdc2a9bd27244fb546a1f910f68d99ab2a30604da7b5758c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.15486",
    "kind": "arxiv",
    "version": 2
  }
}