Pith Number

pith:I4CFUEDJ

pith:2025:I4CFUEDJAF66FFBNYX5CMTYCL4

not attested not anchored not stored refs pending

Model Reduction of Multivariate Geometric Brownian Motions and Localization in a Two-State Quantum System

C. Chen, M. Colangeli, M. H. Duong, M. Serva

arxiv:2507.09413 v3 · 2025-07-12 · math-ph · cond-mat.stat-mech · 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{I4CFUEDJAF66FFBNYX5CMTYCL4}

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	2026-06-19T16:11:11.816310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47045a1069017de2942dc5fa264f025f2ff4930076ed55792cf971ec0fd389ec

Aliases

arxiv: 2507.09413 · arxiv_version: 2507.09413v3 · doi: 10.48550/arxiv.2507.09413 · pith_short_12: I4CFUEDJAF66 · pith_short_16: I4CFUEDJAF66FFBN · pith_short_8: I4CFUEDJ

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/I4CFUEDJAF66FFBNYX5CMTYCL4 \
  | 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: 47045a1069017de2942dc5fa264f025f2ff4930076ed55792cf971ec0fd389ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09982f44d15bd4aed0288c747cd042f848b26cb240d7ae669f0429d3e70030bd",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-07-12T22:34:37Z",
    "title_canon_sha256": "3761cc3ac8929eaa40e58fe3d7bd31940b5c4c4b492a257fa6079adb74d5cb56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.09413",
    "kind": "arxiv",
    "version": 3
  }
}