Pith Number

pith:DBVIE3JU

pith:2016:DBVIE3JULZB4ZPCNB4HLG6IJ6W

not attested not anchored not stored refs pending

An Extension of the Chen-Beurling-Helson-Lowdenslager Theorem

Don Hadwin, Haihui Fan, Wenjing Liu

arxiv:1611.00357 v1 · 2016-11-01 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DBVIE3JULZB4ZPCNB4HLG6IJ6W}

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	2026-05-18T01:00:33.030514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

186a826d345e43ccbc4d0f0eb37909f59c0c15d135a5f4c723bed0654f250ec4

Aliases

arxiv: 1611.00357 · arxiv_version: 1611.00357v1 · doi: 10.48550/arxiv.1611.00357 · pith_short_12: DBVIE3JULZB4 · pith_short_16: DBVIE3JULZB4ZPCN · pith_short_8: DBVIE3JU

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/DBVIE3JULZB4ZPCNB4HLG6IJ6W \
  | 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: 186a826d345e43ccbc4d0f0eb37909f59c0c15d135a5f4c723bed0654f250ec4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1919bcaffffb64f7dd8757d85edf6db8c599c9f9bb52db5d44d30d760cdd9728",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-11-01T03:22:52Z",
    "title_canon_sha256": "a2f16bfaeb9a3ca655fc844f643e4cb58b742a3bf70afc8df1f0860dbc679cc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00357",
    "kind": "arxiv",
    "version": 1
  }
}