Pith Number

pith:UYCIYWUY

pith:2015:UYCIYWUY4SCPZQ4Q3CYAMWKRMZ

not attested not anchored not stored refs pending

A boundary control problem for the pure Cahn-Hilliard equation with dynamic boundary conditions

Gianni Gilardi, J\"urgen Sprekels, Pierluigi Colli

arxiv:1503.03213 v1 · 2015-03-11 · 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{UYCIYWUY4SCPZQ4Q3CYAMWKRMZ}

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	2026-05-18T02:25:04.084511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6048c5a98e484fcc390d8b00659516648e5e4687fe526b3278dadcf3e234550

Aliases

arxiv: 1503.03213 · arxiv_version: 1503.03213v1 · doi: 10.48550/arxiv.1503.03213 · pith_short_12: UYCIYWUY4SCP · pith_short_16: UYCIYWUY4SCPZQ4Q · pith_short_8: UYCIYWUY

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/UYCIYWUY4SCPZQ4Q3CYAMWKRMZ \
  | 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: a6048c5a98e484fcc390d8b00659516648e5e4687fe526b3278dadcf3e234550

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78e555803f62b2dbb5b0a23e1cacfa0ef80c0903f84b6d0d1c006959de335fac",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-11T08:27:08Z",
    "title_canon_sha256": "2ed25f91ee915b8bf429d22a88147c2aa0ac114a4370f404454c1bf1b07eddb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.03213",
    "kind": "arxiv",
    "version": 1
  }
}