Pith Number

pith:FIBH6AF5

pith:2026:FIBH6AF5YWBDVYPYHIXSIUYZJE

not attested not anchored not stored refs pending

Optimal Covariance Estimates for Schr\"odinger Semigroups with White Noise in $d=1,2$

Pierre Yves Gaudreau Lamarre, Youssef Djellouli

arxiv:2607.17393 v1 · 2026-07-19 · math.PR · 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{FIBH6AF5YWBDVYPYHIXSIUYZJE}

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	2026-07-21T01:21:30.819933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a027f00bdc5823ae1f83a2f245319492c7b3d6c65854ceb09566636057ff25e

Aliases

arxiv: 2607.17393 · arxiv_version: 2607.17393v1 · doi: 10.48550/arxiv.2607.17393 · pith_short_12: FIBH6AF5YWBD · pith_short_16: FIBH6AF5YWBDVYPY · pith_short_8: FIBH6AF5

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/FIBH6AF5YWBDVYPYHIXSIUYZJE \
  | 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: 2a027f00bdc5823ae1f83a2f245319492c7b3d6c65854ceb09566636057ff25e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7393dba5363a47a2e0086beed4d1cda803660f9950c318183b356c31866899c9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-19T19:49:47Z",
    "title_canon_sha256": "69d3635471d40351d6ac6adfc17450906fc293431ffa34c74639d6d0e4d8ea8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17393",
    "kind": "arxiv",
    "version": 1
  }
}