Pith Number

pith:AJBTAAMQ

pith:2017:AJBTAAMQIU4K5BHSDKMNBUTCNT

not attested not anchored not stored refs pending

Trace and extension theorems for Sobolev-type functions in metric spaces

Luk\'a\v{s} Mal\'y

arxiv:1704.06344 v1 · 2017-04-20 · math.MG · math.FA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AJBTAAMQIU4K5BHSDKMNBUTCNT}

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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

Preserving Besov (fractional Sobolev) energies under sphericalization and flattening

Receipt and verification

First computed	2026-05-18T00:45:59.946258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02433001904538ae84f21a98d0d2626cf9afa6351bda57183b649ee8ae023d27

Aliases

arxiv: 1704.06344 · arxiv_version: 1704.06344v1 · doi: 10.48550/arxiv.1704.06344 · pith_short_12: AJBTAAMQIU4K · pith_short_16: AJBTAAMQIU4K5BHS · pith_short_8: AJBTAAMQ

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/AJBTAAMQIU4K5BHSDKMNBUTCNT \
  | 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: 02433001904538ae84f21a98d0d2626cf9afa6351bda57183b649ee8ae023d27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d827b238fc36284d521bffd2ee5d995f3a88fbf120cd474e31df9293b587b997",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-04-20T21:27:26Z",
    "title_canon_sha256": "e7ce546b17dcb93170c90b5b047762e09d9991053872c3e5099335b5c99ab313"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06344",
    "kind": "arxiv",
    "version": 1
  }
}