Pith Number

pith:2C3RDKWW

pith:2017:2C3RDKWWZZF2DAXNSFGZ4EGY2K

not attested not anchored not stored refs pending

Optimal velocity control of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions

Gianni Gilardi, J\"urgen Sprekels, Pierluigi Colli

arxiv:1709.02335 v1 · 2017-09-07 · 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{2C3RDKWWZZF2DAXNSFGZ4EGY2K}

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	2026-05-18T00:35:49.451283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0b711aad6ce4ba182ed914d9e10d8d2a1104958156dde142bd1f2a6117643df

Aliases

arxiv: 1709.02335 · arxiv_version: 1709.02335v1 · doi: 10.48550/arxiv.1709.02335 · pith_short_12: 2C3RDKWWZZF2 · pith_short_16: 2C3RDKWWZZF2DAXN · pith_short_8: 2C3RDKWW

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/2C3RDKWWZZF2DAXNSFGZ4EGY2K \
  | 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: d0b711aad6ce4ba182ed914d9e10d8d2a1104958156dde142bd1f2a6117643df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a254c2b2617db363a78e00486fd47832824c2ece81c3d5ed067e9badb6b2d6e3",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-07T16:19:23Z",
    "title_canon_sha256": "04cc72504a851de4719e93053d994e1eb29e1d1d28a3f821ab1428a050b0e329"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02335",
    "kind": "arxiv",
    "version": 1
  }
}