Pith Number

pith:4S5B6UNM

pith:2017:4S5B6UNMCBNALTTPMZ4EF6INFW

not attested not anchored not stored refs pending

Log-majorizations for the (symplectic) eigenvalues of the Cartan barycenter

Fumio Hiai, Yongdo Lim

arxiv:1710.00494 v1 · 2017-10-02 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4S5B6UNMCBNALTTPMZ4EF6INFW}

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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	2026-05-18T00:33:54.617270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4ba1f51ac105a05ce6f667842f90d2da9720c7882c66a1028b0100b637d5e60

Aliases

arxiv: 1710.00494 · arxiv_version: 1710.00494v1 · doi: 10.48550/arxiv.1710.00494 · pith_short_12: 4S5B6UNMCBNA · pith_short_16: 4S5B6UNMCBNALTTP · pith_short_8: 4S5B6UNM

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/4S5B6UNMCBNALTTPMZ4EF6INFW \
  | 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: e4ba1f51ac105a05ce6f667842f90d2da9720c7882c66a1028b0100b637d5e60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63be1915b25953040cfa3c20971884427e2318a9eb224de54b504913c8688d86",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-10-02T05:55:18Z",
    "title_canon_sha256": "31cb98563e3fcdc9e8bd95377679c509f9d8e5251cac20708de874b7c1f36eed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.00494",
    "kind": "arxiv",
    "version": 1
  }
}