Pith Number

pith:VQ7ND5BW

pith:2026:VQ7ND5BWMYAVOYO5R2KLGSLMUZ

not attested not anchored not stored refs pending

Nonlocal Onsager Operators and Entropy Dissipation for Finite-State Schr\"odinger Bridges

Abdallah BenAbdallah, Mohsen Dlal

arxiv:2606.11513 v1 · 2026-06-09 · math.OC · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VQ7ND5BWMYAVOYO5R2KLGSLMUZ}

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	2026-06-11T01:09:53.438927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac3ed1f43666015761dd8e94b3496ca6656ebebaf7686ad33e9f0a27471efaa1

Aliases

arxiv: 2606.11513 · arxiv_version: 2606.11513v1 · doi: 10.48550/arxiv.2606.11513 · pith_short_12: VQ7ND5BWMYAV · pith_short_16: VQ7ND5BWMYAVOYO5 · pith_short_8: VQ7ND5BW

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/VQ7ND5BWMYAVOYO5R2KLGSLMUZ \
  | 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: ac3ed1f43666015761dd8e94b3496ca6656ebebaf7686ad33e9f0a27471efaa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "274d3ccf1740464b16098f2c280663c1dfa273d8ad92996a7d390e3aa5ae9462",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-09T23:27:36Z",
    "title_canon_sha256": "3f96de40edc63db677a5d77af22dc2e7c034e2f730cc7cf8e9e9556de8ddaa3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11513",
    "kind": "arxiv",
    "version": 1
  }
}