Pith Number

pith:6UXYV5FJ

pith:2017:6UXYV5FJRR2RNXCLAOVDDEKKC4

not attested not anchored not stored refs pending

Bounds on the Norm of the Backward Shift and Related Operators in Hardy and Bergman Spaces

Timothy Ferguson

arxiv:1702.03313 v1 · 2017-02-10 · math.CV · 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{6UXYV5FJRR2RNXCLAOVDDEKKC4}

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	2026-05-18T00:50:54.009385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f52f8af4a98c7516dc4b03aa31914a17377f83b0efd7187952fea91a727aecda

Aliases

arxiv: 1702.03313 · arxiv_version: 1702.03313v1 · doi: 10.48550/arxiv.1702.03313 · pith_short_12: 6UXYV5FJRR2R · pith_short_16: 6UXYV5FJRR2RNXCL · pith_short_8: 6UXYV5FJ

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/6UXYV5FJRR2RNXCLAOVDDEKKC4 \
  | 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: f52f8af4a98c7516dc4b03aa31914a17377f83b0efd7187952fea91a727aecda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20d52ed52c9fdeeabe39dd0b6b13a5a09a72890838cd67f3dbed60f1caefdd18",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2017-02-10T19:58:30Z",
    "title_canon_sha256": "7854f3e757afb0b351fcdd551ca4e65768d4f91c5c848d2f09a5d2d877580d1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03313",
    "kind": "arxiv",
    "version": 1
  }
}