Pith Number

pith:75YOTOGY

pith:2026:75YOTOGYPNCKMWEDTG544BTLTA

not attested not anchored not stored refs pending

Optimal geometric barriers for weighted observability of heat semigroups on metric measure spaces

Amaury Hayat, Emmanuel Tr\'elat, Vincent Boulard

arxiv:2607.13279 v1 · 2026-07-14 · math.AP · math.OC · math.SP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{75YOTOGYPNCKMWEDTG544BTLTA}

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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.

Cited by

1 paper in Pith

Optimal cost of fast boundary controls for the one-dimensional heat equation

Receipt and verification

First computed	2026-07-16T00:22:07.343717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff70e9b8d87b44a6588399bbce066b9809baf1673d91524351f3ceff08a103e9

Aliases

arxiv: 2607.13279 · arxiv_version: 2607.13279v1 · doi: 10.48550/arxiv.2607.13279 · pith_short_12: 75YOTOGYPNCK · pith_short_16: 75YOTOGYPNCKMWED · pith_short_8: 75YOTOGY

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/75YOTOGYPNCKMWEDTG544BTLTA \
  | 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: ff70e9b8d87b44a6588399bbce066b9809baf1673d91524351f3ceff08a103e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f290f9dc39e1037a7d35c9c861546ffa6087263c9aacee87b7031bd57a066fc7",
    "cross_cats_sorted": [
      "math.OC",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-14T21:30:39Z",
    "title_canon_sha256": "f731d56d1f0f0468695915a508a8bac73533c69d41c38f234fa92534fd525ed7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13279",
    "kind": "arxiv",
    "version": 1
  }
}