Pith Number

pith:KR6HQ2O4

pith:2018:KR6HQ2O44WCXMOVULE7LYKL25C

not attested not anchored not stored refs pending

Pontryagin's maximum principle and second order optimality condition for optimal control problems for the nonlocal Cahn-Hilliard-Navier-Stokes systems in two dimensions

Manil T Mohan, Sheetal Dharmatti, Tania Biswas

arxiv:1802.08413 v2 · 2018-02-23 · 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{KR6HQ2O44WCXMOVULE7LYKL25C}

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	2026-05-17T23:53:51.639077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

547c7869dce585763ab4593ebc297ae8863c194c2b872223d0c94045d1dd1b38

Aliases

arxiv: 1802.08413 · arxiv_version: 1802.08413v2 · doi: 10.48550/arxiv.1802.08413 · pith_short_12: KR6HQ2O44WCX · pith_short_16: KR6HQ2O44WCXMOVU · pith_short_8: KR6HQ2O4

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/KR6HQ2O44WCXMOVULE7LYKL25C \
  | 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: 547c7869dce585763ab4593ebc297ae8863c194c2b872223d0c94045d1dd1b38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ca3960406c86c1376080be2ee219016813df530c8afbd477878382ebbb64480",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-02-23T07:09:12Z",
    "title_canon_sha256": "813eedf3999bbada5f4fe427371e2fe63d271e07c5b7dfb483714fc3eeb15a57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08413",
    "kind": "arxiv",
    "version": 2
  }
}