pith. sign in
Pith Number

pith:WSQWNT4V

pith:2018:WSQWNT4VNNELWPHS35KSPBFUHX
not attested not anchored not stored refs pending

Second Order Optimality Conditions for Optimal Control Problems Governed by 2D Nonlocal Cahn Hilliard Navier Stokes Equations

Manil T Mohan, Sheetal Dharmatti, Tania Biswas

arxiv:1809.10297 v1 · 2018-09-25 · math.OC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WSQWNT4VNNELWPHS35KSPBFUHX}

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 2026-05-18T00:04:38.673922Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b4a166cf956b48bb3cf2df552784b43ddac0e534b701efb6e1e5029e6cc88328

Aliases

arxiv: 1809.10297 · arxiv_version: 1809.10297v1 · doi: 10.48550/arxiv.1809.10297 · pith_short_12: WSQWNT4VNNEL · pith_short_16: WSQWNT4VNNELWPHS · pith_short_8: WSQWNT4V
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WSQWNT4VNNELWPHS35KSPBFUHX \
  | 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: b4a166cf956b48bb3cf2df552784b43ddac0e534b701efb6e1e5029e6cc88328
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5cd6d46631e8b0882e5f79776a610d2a79b3517511007e6f833c9bba2cf9a5a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-09-25T19:55:03Z",
    "title_canon_sha256": "d56a63d514c707ad1bb6f07221675e7a41560df2886c9cc221f9095993ac7225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10297",
    "kind": "arxiv",
    "version": 1
  }
}