Pith Number

pith:WH7VQF2V

pith:2026:WH7VQF2VAPUAMC7XL3FHSZEXQQ

not attested not anchored not stored refs pending

Hamiltonian Lift of Bures--Wasserstein Covariance Dynamics with a Spectral Floor

Christian Kerskens

arxiv:2607.16380 v1 · 2026-07-17 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WH7VQF2VAPUAMC7XL3FHSZEXQQ}

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	2026-07-21T00:20:14.921024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1ff58175503e8060bf75eca796497842be80bab38157b1b9adac1f6616559fa

Aliases

arxiv: 2607.16380 · arxiv_version: 2607.16380v1 · doi: 10.48550/arxiv.2607.16380 · pith_short_12: WH7VQF2VAPUA · pith_short_16: WH7VQF2VAPUAMC7X · pith_short_8: WH7VQF2V

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/WH7VQF2VAPUAMC7XL3FHSZEXQQ \
  | 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: b1ff58175503e8060bf75eca796497842be80bab38157b1b9adac1f6616559fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b207aadf32893fec48e9b6c4e45f8e82113a45273aaf92b381053ac80d54f07b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-17T16:21:21Z",
    "title_canon_sha256": "b159f936122cfad0fd50bc1e6cb14c9ec1ee1b28a92d2e33b1258b7f0d0334d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16380",
    "kind": "arxiv",
    "version": 1
  }
}