Pith Number

pith:TZAU4CCV

pith:2017:TZAU4CCV6VMNOSLAWM7TAJHNCG

not attested not anchored not stored refs pending

Optimal boundary control of a nonstandard Cahn-Hilliard system with dynamic boundary condition and double obstacle inclusions

J\"urgen Sprekels, Pierluigi Colli

arxiv:1702.01907 v2 · 2017-02-07 · 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{TZAU4CCV6VMNOSLAWM7TAJHNCG}

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	2026-05-18T00:36:19.406378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e414e0855f558d74960b33f3024ed1197e5bafa9b93256b3a54d565bfdafd24

Aliases

arxiv: 1702.01907 · arxiv_version: 1702.01907v2 · doi: 10.48550/arxiv.1702.01907 · pith_short_12: TZAU4CCV6VMN · pith_short_16: TZAU4CCV6VMNOSLA · pith_short_8: TZAU4CCV

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/TZAU4CCV6VMNOSLAWM7TAJHNCG \
  | 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: 9e414e0855f558d74960b33f3024ed1197e5bafa9b93256b3a54d565bfdafd24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dd1db46c156cc4d699f4bee20ef13f8e347852f7ca2f98e063f4306ca3a273e",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-07T07:27:17Z",
    "title_canon_sha256": "b6deff592eac64f1aa16dab5e75cdbdd8b569151cd3da68e2efed4acdd63e586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.01907",
    "kind": "arxiv",
    "version": 2
  }
}