Pith Number

pith:7AH6STGA

pith:2018:7AH6STGALJFGXG322IRI3D3NCT

not attested not anchored not stored refs pending

On symplectic eigenvalues of positive definite matrices

Rajendra Bhatia, Tanvi Jain

arxiv:1803.04647 v1 · 2018-03-13 · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7AH6STGALJFGXG322IRI3D3NCT}

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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

On generalization of Williamson's theorem to real symmetric matrices

Receipt and verification

First computed	2026-05-18T00:20:34.496228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f80fe94cc05a4a6b9b7ad2228d8f6d14f878f7c564b580d8b6fb8dbcb5b3c5b1

Aliases

arxiv: 1803.04647 · arxiv_version: 1803.04647v1 · doi: 10.48550/arxiv.1803.04647 · pith_short_12: 7AH6STGALJFG · pith_short_16: 7AH6STGALJFGXG32 · pith_short_8: 7AH6STGA

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/7AH6STGALJFGXG322IRI3D3NCT \
  | 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: f80fe94cc05a4a6b9b7ad2228d8f6d14f878f7c564b580d8b6fb8dbcb5b3c5b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca7cb4776594aa38ab2260511c257f6d02f4be5bfc734ef2d9b87086863b0197",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-03-13T06:29:55Z",
    "title_canon_sha256": "3ecdf7904df495e94acf9a8b2a6c41aafb1a8a0fbff4e1c039f4133202128c70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04647",
    "kind": "arxiv",
    "version": 1
  }
}