Pith Number

pith:T6NYVZHW

pith:2024:T6NYVZHWFWZCUUS7EGKVTZI5N5

not attested not anchored not stored refs pending

Observability inequalities for heat equations with potentials

Jinping Zhuge, Jiuyi Zhu

arxiv:2409.09476 v2 · 2024-09-14 · math.OC · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T6NYVZHWFWZCUUS7EGKVTZI5N5}

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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

Spectral inequalities for Schr\"odinger equations and quantitative propagation of smallness in the plane

Receipt and verification

First computed	2026-07-05T11:43:57.197743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f9b8ae4f62db22a525f219559e51d6f7701b5f8fe58ab3707d503184356b440

Aliases

arxiv: 2409.09476 · arxiv_version: 2409.09476v2 · doi: 10.48550/arxiv.2409.09476 · pith_short_12: T6NYVZHWFWZC · pith_short_16: T6NYVZHWFWZCUUS7 · pith_short_8: T6NYVZHW

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/T6NYVZHWFWZCUUS7EGKVTZI5N5 \
  | 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: 9f9b8ae4f62db22a525f219559e51d6f7701b5f8fe58ab3707d503184356b440

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ee7e627d2562a8599a71edef2e70bf383e9ea9105527ee886c7b0f59ae10b87",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-09-14T16:33:50Z",
    "title_canon_sha256": "c01a934c2c16313567079d812b1444095d4bf2eb3d61ba2a6e087ba0b1314d77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.09476",
    "kind": "arxiv",
    "version": 2
  }
}