Pith Number

pith:XGHRKJE4

pith:2015:XGHRKJE4PFNA42PXXIA6NWAERB

not attested not anchored not stored refs pending

Norm and essential norm of a weighted composition operator on the Bloch space

Songxiao Li, Xiaosong Liu

arxiv:1511.06200 v1 · 2015-11-19 · 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{XGHRKJE4PFNA42PXXIA6NWAERB}

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	2026-05-18T01:26:26.121712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b98f15249c795a0e69f7ba01e6d804887cf4c066b9a72a4647c4d4dbe8e102cd

Aliases

arxiv: 1511.06200 · arxiv_version: 1511.06200v1 · doi: 10.48550/arxiv.1511.06200 · pith_short_12: XGHRKJE4PFNA · pith_short_16: XGHRKJE4PFNA42PX · pith_short_8: XGHRKJE4

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/XGHRKJE4PFNA42PXXIA6NWAERB \
  | 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: b98f15249c795a0e69f7ba01e6d804887cf4c066b9a72a4647c4d4dbe8e102cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9d94a8b1782d065abe765a2d49d9e82346d0abd80a84d952144dc0afdac6e75",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-11-19T15:10:09Z",
    "title_canon_sha256": "605fd10431bdadf8f17d8176f0ee0f76289bc690d1741e60bad13b8c3d3229d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06200",
    "kind": "arxiv",
    "version": 1
  }
}