Pith Number

pith:QWOC5DUP

pith:2025:QWOC5DUPYZZ3AYBXQIQE65OXOH

not attested not anchored not stored refs pending

Optimal Control of Thin-Film Flow on a Flexible Topography

A. Kalogirou, D. Kalise, K.G. van der Zee, S. Alrashidy

arxiv:2506.15340 v2 · 2025-06-18 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QWOC5DUPYZZ3AYBXQIQE65OXOH}

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	2026-06-02T02:04:06.661494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

859c2e8e8fc673b0603782204f75d771d61559f34a6ca85aea15fec7056a08a0

Aliases

arxiv: 2506.15340 · arxiv_version: 2506.15340v2 · doi: 10.48550/arxiv.2506.15340 · pith_short_12: QWOC5DUPYZZ3 · pith_short_16: QWOC5DUPYZZ3AYBX · pith_short_8: QWOC5DUP

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/QWOC5DUPYZZ3AYBXQIQE65OXOH \
  | 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: 859c2e8e8fc673b0603782204f75d771d61559f34a6ca85aea15fec7056a08a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4babcccadf1f70450b7d1ff9afaba924a287044447b8166a844cac82c19aa51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-18T10:45:07Z",
    "title_canon_sha256": "492b81f63ac04b1d19f576169c7f4b0261e29d4f302038b94e3e47b87880cace"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.15340",
    "kind": "arxiv",
    "version": 2
  }
}