Pith Number

pith:XTZYBFLP

pith:2016:XTZYBFLPXDBZR33HW5O6YHZIGT

not attested not anchored not stored refs pending

Restricted Beurling transforms on Campanato spaces

Andrei V. Vasin, Evgueni Doubtsov

arxiv:1604.07670 v1 · 2016-04-26 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTZYBFLPXDBZR33HW5O6YHZIGT}

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	2026-05-18T01:16:12.350403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcf380956fb8c398ef67b75dec1f2834dd91b3f3f9c6b4588d3e1a1e95e13a2f

Aliases

arxiv: 1604.07670 · arxiv_version: 1604.07670v1 · doi: 10.48550/arxiv.1604.07670 · pith_short_12: XTZYBFLPXDBZ · pith_short_16: XTZYBFLPXDBZR33H · pith_short_8: XTZYBFLP

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/XTZYBFLPXDBZR33HW5O6YHZIGT \
  | 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: bcf380956fb8c398ef67b75dec1f2834dd91b3f3f9c6b4588d3e1a1e95e13a2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb5e0fb44865446c721d5b94563ee44052c642761c8c54543682c424feabb07a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-04-26T13:28:29Z",
    "title_canon_sha256": "c3e75f6e293a54ef63aca0b5f26cd186bb5a583bb51f7376d3abc79f98acc0d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07670",
    "kind": "arxiv",
    "version": 1
  }
}