Pith Number

pith:2AS4BQYP

pith:2018:2AS4BQYPDV6VKZ3CDH53JTW6NJ

not attested not anchored not stored refs pending

Maximum Principle and Data Assimilation Problem for the Optimal Control Problems Governed by 2D Nonlocal Cahn-Hillard-Navier-Stokes Equations

Manil T Mohan, Sheetal Dharmatti, Tania Biswas

arxiv:1803.11337 v2 · 2018-03-30 · 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{2AS4BQYPDV6VKZ3CDH53JTW6NJ}

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	2026-05-17T23:50:59.797369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d025c0c30f1d7d55676219fbb4cede6a6caa515250a90661cd204311f563abbd

Aliases

arxiv: 1803.11337 · arxiv_version: 1803.11337v2 · doi: 10.48550/arxiv.1803.11337 · pith_short_12: 2AS4BQYPDV6V · pith_short_16: 2AS4BQYPDV6VKZ3C · pith_short_8: 2AS4BQYP

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/2AS4BQYPDV6VKZ3CDH53JTW6NJ \
  | 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: d025c0c30f1d7d55676219fbb4cede6a6caa515250a90661cd204311f563abbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be4918aed02163b16301f56c6c09d1cb0a61ad56235f18037cdf3ee79cfc2fb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-03-30T04:29:22Z",
    "title_canon_sha256": "f561802eeea4adcd6cf089b456f36527fc18be60bfc226a2c2eb9a38d5b2096a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.11337",
    "kind": "arxiv",
    "version": 2
  }
}