Pith Number

pith:ACLW5CIL

pith:2019:ACLW5CILYAMOYAGZP7AVR5JGKE

not attested not anchored not stored refs pending

Atomic decompositions, two stars theorems, and distances for the Bourgain-Brezis-Mironescu space and other big spaces

Carlo Sbordone, Karl-Mikael Perfekt, Luigi D'Onofrio, Luigi Greco, Roberta Schiattarella

arxiv:1907.06380 v1 · 2019-07-15 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ACLW5CILYAMOYAGZP7AVR5JGKE}

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	2026-05-17T23:40:37.776164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00976e890bc018ec00d97fc158f52651182f2f4c3ea802cd278957612df01b00

Aliases

arxiv: 1907.06380 · arxiv_version: 1907.06380v1 · doi: 10.48550/arxiv.1907.06380 · pith_short_12: ACLW5CILYAMO · pith_short_16: ACLW5CILYAMOYAGZ · pith_short_8: ACLW5CIL

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/ACLW5CILYAMOYAGZP7AVR5JGKE \
  | 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: 00976e890bc018ec00d97fc158f52651182f2f4c3ea802cd278957612df01b00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74491e81fddecad9abe0a0c0f7652fd1fb3c09bd0bb138abf80690ca92be009c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-07-15T09:15:59Z",
    "title_canon_sha256": "07fadaea5c371e88d9429e49a909b1e3c5420a612debf3b8ec9ca02aa9342e5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06380",
    "kind": "arxiv",
    "version": 1
  }
}