Pith Number

pith:VAYHD7Q6

pith:2026:VAYHD7Q63VI3JTMDJ4ZXNTQ6EN

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An inverse problem for inhomogeneous Signorini obstacle

Ziyao Zhao

The shape and obstacle function of an inhomogeneous Signorini problem are uniquely determined by boundary measurements on an arbitrary open subset for both scalar and elasticity versions.

arxiv:2605.15091 v1 · 2026-05-14 · math.AP

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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.

Claims

C1strongest claim

both the shape of the obstacle and the obstacle function can be uniquely determined from solution measurements taken on an arbitrary open subset of the boundary. This result applies to both the scalar and elasticity versions of the Signorini problem.

C2weakest assumption

The Signorini problem is well-posed in the inhomogeneous setting, and boundary measurements on an arbitrary open subset suffice for uniqueness without additional regularity or geometric assumptions on the obstacle.

C3one line summary

The shape and obstacle function of an inhomogeneous Signorini problem are uniquely determined by boundary measurements on an arbitrary open subset for both scalar and elasticity versions.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T21:40:25.901395Z
Last reissued	2026-05-17T21:57:19.224773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

a83071fe1edd51b4cd834f3376ce1e235c5aeaeef7f58a96a16359ec0a26d74d

Aliases

arxiv: 2605.15091 · arxiv_version: 2605.15091v1 · pith_short_12: VAYHD7Q63VI3 · pith_short_16: VAYHD7Q63VI3JTMD · pith_short_8: VAYHD7Q6

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/VAYHD7Q63VI3JTMDJ4ZXNTQ6EN \
  | 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: a83071fe1edd51b4cd834f3376ce1e235c5aeaeef7f58a96a16359ec0a26d74d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87c9f97f7bb82592c08941b176dab6bec090e6e9ac631e8344bd17f65dfacb32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-14T17:11:21Z",
    "title_canon_sha256": "594524077be7cde3337eb8af0050974ad13824200e54db7fa9b23b59c335b0d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.15091",
    "kind": "arxiv",
    "version": 1
  }
}