Pith Number

pith:XAO5DVB2

pith:2016:XAO5DVB2D353UATVFQLHK62MTT

not attested not anchored not stored refs pending

Spectra of linear fractional composition operators on the Hardy and weighted Bergman spaces of the half-plane

Riikka Schroderus

arxiv:1605.01859 v3 · 2016-05-06 · 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{XAO5DVB2D353UATVFQLHK62MTT}

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	2026-05-18T00:56:46.156310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b81dd1d43a1efbba02752c16757b4c9cdac2e12ba772d5b474d38e9f75de8a9a

Aliases

arxiv: 1605.01859 · arxiv_version: 1605.01859v3 · doi: 10.48550/arxiv.1605.01859 · pith_short_12: XAO5DVB2D353 · pith_short_16: XAO5DVB2D353UATV · pith_short_8: XAO5DVB2

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/XAO5DVB2D353UATVFQLHK62MTT \
  | 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: b81dd1d43a1efbba02752c16757b4c9cdac2e12ba772d5b474d38e9f75de8a9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b267ae75d0aa214332c83c31eb40aea17cb0441b3a1efb6424c9763c13dd6cf3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-05-06T08:39:39Z",
    "title_canon_sha256": "0955fcab278d087f2c05f892fa3d3eb53ea7ff966eda7aac546613584f62a100"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01859",
    "kind": "arxiv",
    "version": 3
  }
}