Pith Number

pith:Q5H6SSJB

pith:2018:Q5H6SSJBH4Y2YJY4Z6EXNWFDES

not attested not anchored not stored refs pending

Optimal distributed control of a generalized fractional Cahn-Hilliard system

Gianni Gilardi, J\"urgen Sprekels, Pierluigi Colli

arxiv:1807.03218 v3 · 2018-07-09 · 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{Q5H6SSJBH4Y2YJY4Z6EXNWFDES}

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	2026-05-18T00:02:44.586707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

874fe949213f31ac271ccf8976d8a3248629d56000fc2ccd6620d916068ac9ef

Aliases

arxiv: 1807.03218 · arxiv_version: 1807.03218v3 · doi: 10.48550/arxiv.1807.03218 · pith_short_12: Q5H6SSJBH4Y2 · pith_short_16: Q5H6SSJBH4Y2YJY4 · pith_short_8: Q5H6SSJB

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/Q5H6SSJBH4Y2YJY4Z6EXNWFDES \
  | 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: 874fe949213f31ac271ccf8976d8a3248629d56000fc2ccd6620d916068ac9ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12bc18a764e35ac19e25516b0ea5b0820c2e8a92ddbe5263a0d6aa827ad1240a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-09T15:10:46Z",
    "title_canon_sha256": "800065afbb608e46eed2c2cec931fb3b823eee1aec47fe1a027a201f9178694c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.03218",
    "kind": "arxiv",
    "version": 3
  }
}