Pith Number

pith:B2IUHBRM

pith:2019:B2IUHBRMY6ZUFTVB3R72GYRGWE

not attested not anchored not stored refs pending

Besov and Triebel--Lizorkin spaces on Lie groups

Marco M. Peloso, Maria Vallarino, Tommaso Bruno

arxiv:1903.05855 v1 · 2019-03-14 · math.FA · 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{B2IUHBRMY6ZUFTVB3R72GYRGWE}

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	2026-05-17T23:51:15.962214Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e9143862cc7b342cea1dc7fa36226b12c866d2670b1b4f40fc5215399f29252

Aliases

arxiv: 1903.05855 · arxiv_version: 1903.05855v1 · doi: 10.48550/arxiv.1903.05855 · pith_short_12: B2IUHBRMY6ZU · pith_short_16: B2IUHBRMY6ZUFTVB · pith_short_8: B2IUHBRM

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/B2IUHBRMY6ZUFTVB3R72GYRGWE \
  | 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: 0e9143862cc7b342cea1dc7fa36226b12c866d2670b1b4f40fc5215399f29252

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "711b335bfdc510ff757b0bef7e79af29d0a853f5b8eddea2da5c20f0f45b330e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-03-14T08:34:35Z",
    "title_canon_sha256": "7befd54fc09191c5c6da68f6405fb2f1f6eba39a60dd1f6855a40db73a370604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05855",
    "kind": "arxiv",
    "version": 1
  }
}