Pith Number

pith:3KW45PZV

pith:2016:3KW45PZVIKNFDFPSMAVF7WQ5FM

not attested not anchored not stored refs pending

Distributed optimal control of a nonstandard nonlocal phase field system with double obstacle potential

Gianni Gilardi, J\"urgen Sprekels, Pierluigi Colli

arxiv:1607.01991 v1 · 2016-07-07 · math.AP · 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{3KW45PZVIKNFDFPSMAVF7WQ5FM}

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	2026-05-18T01:11:22.857026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daadcebf35429a5195f2602a5fda1d2b2adce249952a3e1e32deda8ce8de07d8

Aliases

arxiv: 1607.01991 · arxiv_version: 1607.01991v1 · doi: 10.48550/arxiv.1607.01991 · pith_short_12: 3KW45PZVIKNF · pith_short_16: 3KW45PZVIKNFDFPS · pith_short_8: 3KW45PZV

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/3KW45PZVIKNFDFPSMAVF7WQ5FM \
  | 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: daadcebf35429a5195f2602a5fda1d2b2adce249952a3e1e32deda8ce8de07d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cefc356375aac23204b95ef742a7030f90777b8a58578d1f285244b6e9aab34a",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-07T12:45:44Z",
    "title_canon_sha256": "98103112bb8bcbc42cc74eced5221055fd9adb80a3a4dd18d1697965e9bf00c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01991",
    "kind": "arxiv",
    "version": 1
  }
}