Pith Number

pith:6R5JSO3E

pith:2013:6R5JSO3EYBFCI7IE7UTPEOFBXQ

not attested not anchored not stored refs pending

Fractional Laplacians on domains, a development of H\"ormander's theory of mu-transmission pseudodifferential operators

Gerd Grubb

arxiv:1310.0951 v5 · 2013-10-03 · math.AP · math.FA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6R5JSO3EYBFCI7IE7UTPEOFBXQ}

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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

The Lewy-Stampacchia Inequality for the Fractional Laplacian and Its Application to Anomalous Unidirectional Diffusion Equations

Receipt and verification

First computed	2026-05-18T02:38:46.218057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f47a993b64c04a247d04fd26f238a1bc085983edfbdbb5ac37f2df3910148f20

Aliases

arxiv: 1310.0951 · arxiv_version: 1310.0951v5 · doi: 10.48550/arxiv.1310.0951 · pith_short_12: 6R5JSO3EYBFC · pith_short_16: 6R5JSO3EYBFCI7IE · pith_short_8: 6R5JSO3E

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/6R5JSO3EYBFCI7IE7UTPEOFBXQ \
  | 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: f47a993b64c04a247d04fd26f238a1bc085983edfbdbb5ac37f2df3910148f20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d97d64dcd7b2830b36bcc9b2d6734ea693017805992ca03c4167759a16d052f0",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-03T12:15:13Z",
    "title_canon_sha256": "c7d5e4d9bcfb9956bedac48580ad0faed3da78c8a8e39bb3036468cc0a1c2d3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0951",
    "kind": "arxiv",
    "version": 5
  }
}