Pith Number

pith:KBX5HBT3

pith:2024:KBX5HBT3CBAQYBX5RRL5QUNPJS

not attested not anchored not stored refs pending

Conic programming to understand sums of squares of eigenvalues of graphs

Gabriel Coutinho, Shengtong Zhang, Thom\'as Jung Spier

arxiv:2411.08184 v1 · 2024-11-12 · math.CO · math.OC · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KBX5HBT3CBAQYBX5RRL5QUNPJS}

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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

A SWAP-free Framework for QAOA

Receipt and verification

First computed	2026-07-05T09:34:42.896091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

506fd3867b10410c06fd8c57d851af4cb46baa7d93833c102ba90a43422ed204

Aliases

arxiv: 2411.08184 · arxiv_version: 2411.08184v1 · doi: 10.48550/arxiv.2411.08184 · pith_short_12: KBX5HBT3CBAQ · pith_short_16: KBX5HBT3CBAQYBX5 · pith_short_8: KBX5HBT3

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/KBX5HBT3CBAQYBX5RRL5QUNPJS \
  | 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: 506fd3867b10410c06fd8c57d851af4cb46baa7d93833c102ba90a43422ed204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f071ed04499ab2985f70cfd5a8ae36d4151c045fca4cf47212e528de13ecd68c",
    "cross_cats_sorted": [
      "math.OC",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-11-12T21:07:58Z",
    "title_canon_sha256": "3e6493bc541fbe3caf170e780b44a9a13539a0d3182310a1bcb4910f4a15d659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.08184",
    "kind": "arxiv",
    "version": 1
  }
}