Pith Number

pith:HGKZXHJT

pith:2024:HGKZXHJT3PVHAJIJLXIXA5NDVY

not attested not anchored not stored refs pending

Intertwining Curvature Bounds for Graphs and Quantum Markov Semigroups

Florentin M\"unch, Haonan Zhang, Melchior Wirth

arxiv:2401.05179 v1 · 2024-01-10 · math.FA · math.DG · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HGKZXHJT3PVHAJIJLXIXA5NDVY}

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.

Cited by

1 paper in Pith

Speeding up quantum Markov processes through lifting

Receipt and verification

First computed	2026-07-05T07:32:11.764289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39959b9d33dbea7025095dd17075a3ae0c13c7f067fa48695c8158d353c126df

Aliases

arxiv: 2401.05179 · arxiv_version: 2401.05179v1 · doi: 10.48550/arxiv.2401.05179 · pith_short_12: HGKZXHJT3PVH · pith_short_16: HGKZXHJT3PVHAJIJ · pith_short_8: HGKZXHJT

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/HGKZXHJT3PVHAJIJLXIXA5NDVY \
  | 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: 39959b9d33dbea7025095dd17075a3ae0c13c7f067fa48695c8158d353c126df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfa6183b6f7f1df1e4fb09eb1957bb6b64e9af73613dc1d04e5e26f4adb4103c",
    "cross_cats_sorted": [
      "math.DG",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-01-10T14:26:50Z",
    "title_canon_sha256": "eaab321b7fdfc86e46515b0ea4469192c0440d2af63eeac41f501c113e6a5cf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.05179",
    "kind": "arxiv",
    "version": 1
  }
}