Pith Number

pith:ACNGD3AF

pith:2018:ACNGD3AFPSER5SGORM4SZPZS3X

not attested not anchored not stored refs pending

Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains

Albrecht Seelmann, Ivan Veselic, Ivica Naki\'c, Martin Tautenhahn, Matthias T\"aufer, Michela Egidi

arxiv:1810.11229 v2 · 2018-10-26 · 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{ACNGD3AFPSER5SGORM4SZPZS3X}

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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

Sampling and equidistribution theorems for elliptic second order operators, lifting of eigenvalues, and applications

Receipt and verification

First computed	2026-07-05T01:27:16.983012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

009a61ec057c891ec8ce8b392cbf32ddef347da03066577d9497854b412cce45

Aliases

arxiv: 1810.11229 · arxiv_version: 1810.11229v2 · doi: 10.48550/arxiv.1810.11229 · pith_short_12: ACNGD3AFPSER · pith_short_16: ACNGD3AFPSER5SGO · pith_short_8: ACNGD3AF

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/ACNGD3AFPSER5SGORM4SZPZS3X \
  | 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: 009a61ec057c891ec8ce8b392cbf32ddef347da03066577d9497854b412cce45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2478b38dd82e3ef629a380bfe8b038023c2bf770e84f4e26f58e69c91067fedc",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-26T08:53:59Z",
    "title_canon_sha256": "989db96c1840b8c87bc4d159ae4d8106023e1ae1fd71ae25a74b6f9f9ae32fb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.11229",
    "kind": "arxiv",
    "version": 2
  }
}