Pith Number

pith:3BYEQ3ZZ

pith:2016:3BYEQ3ZZ3VG2DXVVQ5WTBLGYMQ

not attested not anchored not stored refs pending

Optimal boundary control of a nonstandard viscous Cahn-Hilliard system with dynamic boundary condition

Gianni Gilardi, J\"urgen Sprekels, Pierluigi Colli

arxiv:1609.07046 v2 · 2016-09-22 · 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{3BYEQ3ZZ3VG2DXVVQ5WTBLGYMQ}

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	2026-05-18T00:35:51.738305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d870486f39dd4da1deb5876d30acd86407538702ef7e5d13c0d2346335fc7ef5

Aliases

arxiv: 1609.07046 · arxiv_version: 1609.07046v2 · doi: 10.48550/arxiv.1609.07046 · pith_short_12: 3BYEQ3ZZ3VG2 · pith_short_16: 3BYEQ3ZZ3VG2DXVV · pith_short_8: 3BYEQ3ZZ

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/3BYEQ3ZZ3VG2DXVVQ5WTBLGYMQ \
  | 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: d870486f39dd4da1deb5876d30acd86407538702ef7e5d13c0d2346335fc7ef5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0afcc0ac812380623e27533790263392b8637e5576cb54f2d89c95dedfc601dd",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-22T16:05:04Z",
    "title_canon_sha256": "9a8814012406c61ccffa38c7f6e89c102d190cb1d6c4911332bc5e9bd5d25f26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07046",
    "kind": "arxiv",
    "version": 2
  }
}