Pith Number

pith:M4OCI2EA

pith:2022:M4OCI2EAMBK2XU7ACV5IE4BHPP

not attested not anchored not stored refs pending

A generalization on spectral extrema of $K_{s,t}$-minor free graphs

Yanting Zhang, ZhenZhen Lou

arxiv:2211.11142 v2 · 2022-11-21 · 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{M4OCI2EAMBK2XU7ACV5IE4BHPP}

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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.

Cited by

1 paper in Pith

Spectral extremal results on the $A_\alpha$-spectral radius of graphs without $K_{a,b}$-minor

Receipt and verification

First computed	2026-07-05T05:25:51.668442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

671c2468806055abd3e0157a8270277bc104dcce9a89f6eff84398501215bab6

Aliases

arxiv: 2211.11142 · arxiv_version: 2211.11142v2 · doi: 10.48550/arxiv.2211.11142 · pith_short_12: M4OCI2EAMBK2 · pith_short_16: M4OCI2EAMBK2XU7A · pith_short_8: M4OCI2EA

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/M4OCI2EAMBK2XU7ACV5IE4BHPP \
  | 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: 671c2468806055abd3e0157a8270277bc104dcce9a89f6eff84398501215bab6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eefc5ccc6d9d613d4ec78ae44524c13a67edda490031de67b674310fa03b1d92",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-11-21T01:29:15Z",
    "title_canon_sha256": "2abc3dae23145f61cf485c4b8c280f00b23f557f200d704b632c6d1fb0ec43e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.11142",
    "kind": "arxiv",
    "version": 2
  }
}