Pith Number

pith:NHZYVSO4

pith:2024:NHZYVSO46IAYWVVHTP7YXBAYZX

not attested not anchored not stored refs pending

Computing the permanental polynomial of $4k$-intercyclic bipartite graphs

Hitesh Wankhede, Ranveer Singh, Ravindra B. Bapat

arxiv:2411.14238 v1 · 2024-11-21 · 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{NHZYVSO46IAYWVVHTP7YXBAYZX}

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	2026-07-05T09:38:43.859013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69f38ac9dcf2018b56a79bff8b8418cde9d4b7cc59de8c504d9fe659e8167a8b

Aliases

arxiv: 2411.14238 · arxiv_version: 2411.14238v1 · doi: 10.48550/arxiv.2411.14238 · pith_short_12: NHZYVSO46IAY · pith_short_16: NHZYVSO46IAYWVVH · pith_short_8: NHZYVSO4

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/NHZYVSO46IAYWVVHTP7YXBAYZX \
  | 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: 69f38ac9dcf2018b56a79bff8b8418cde9d4b7cc59de8c504d9fe659e8167a8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f05a9d1c355068261320f79e2a08713ffec0c1e8844e0fe18c7d59b0653a86c",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-21T15:48:38Z",
    "title_canon_sha256": "9554cc80e43c260f87ef197e00838b593845bbfacd278f446a31d54945e2eb78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14238",
    "kind": "arxiv",
    "version": 1
  }
}