Pith Number

pith:AY5MUE4V

pith:2017:AY5MUE4VSOLEEA6Y7XAQJFVAZC

not attested not anchored not stored refs pending

Lifting in Besov Spaces

Emmanuel Russ, Petru Mironescu, Yannick Sire

arxiv:1705.04271 v2 · 2017-05-11 · math.CA · 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{AY5MUE4VSOLEEA6Y7XAQJFVAZC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-05-18T00:42:12.018205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

063aca139593964203d8fdc10496a0c89caa240c796ef313b12b6322735fcaab

Aliases

arxiv: 1705.04271 · arxiv_version: 1705.04271v2 · doi: 10.48550/arxiv.1705.04271 · pith_short_12: AY5MUE4VSOLE · pith_short_16: AY5MUE4VSOLEEA6Y · pith_short_8: AY5MUE4V

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/AY5MUE4VSOLEEA6Y7XAQJFVAZC \
  | 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: 063aca139593964203d8fdc10496a0c89caa240c796ef313b12b6322735fcaab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88d8533b011a12a1c1620203838be5624dc6fe62617d0cae5dd3da34abaf8dc9",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-05-11T16:36:06Z",
    "title_canon_sha256": "da8e62ded791fc675dd699bc09d7f7498e5aa4c468672b7d6de84d9826334c41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04271",
    "kind": "arxiv",
    "version": 2
  }
}