Pith Number

pith:UMWIOQNO

pith:2016:UMWIOQNOBDY5D4QCYU26RHLUK5

not attested not anchored not stored refs pending

Intrinsic atomic characterization of 2-microlocal spaces with variable exponents on domains

Helena F. Gon\c{c}alves, Henning Kempka

arxiv:1607.05885 v3 · 2016-07-20 · 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{UMWIOQNOBDY5D4QCYU26RHLUK5}

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	2026-05-18T00:47:36.991841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a32c8741ae08f1d1f202c535e89d745755914ba3ded8606861e3b78e993db123

Aliases

arxiv: 1607.05885 · arxiv_version: 1607.05885v3 · doi: 10.48550/arxiv.1607.05885 · pith_short_12: UMWIOQNOBDY5 · pith_short_16: UMWIOQNOBDY5D4QC · pith_short_8: UMWIOQNO

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/UMWIOQNOBDY5D4QCYU26RHLUK5 \
  | 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: a32c8741ae08f1d1f202c535e89d745755914ba3ded8606861e3b78e993db123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac27872d9caccb00d56692ef9fe1d3c11196d5e475ff522ea807f77a4e222ac8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-07-20T09:30:36Z",
    "title_canon_sha256": "46f0b82d878b117f26d6a1b878fb135fafad425042b31dc8fd30b1ac16174d24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05885",
    "kind": "arxiv",
    "version": 3
  }
}