Pith Number

pith:3FWVHAUN

pith:2013:3FWVHAUNIZ5M4NEDLOWOCLNM3A

not attested not anchored not stored refs pending

Composition operators acting on weighted Hilbert spaces of analytic functions

Mostafa Hassanlou

arxiv:1306.1018 v2 · 2013-06-05 · 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{3FWVHAUNIZ5M4NEDLOWOCLNM3A}

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	2026-05-18T03:16:38.240282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d96d53828d467ace34835bace12dacd800cc8d613369125c177f196af040ad4c

Aliases

arxiv: 1306.1018 · arxiv_version: 1306.1018v2 · doi: 10.48550/arxiv.1306.1018 · pith_short_12: 3FWVHAUNIZ5M · pith_short_16: 3FWVHAUNIZ5M4NED · pith_short_8: 3FWVHAUN

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/3FWVHAUNIZ5M4NEDLOWOCLNM3A \
  | 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: d96d53828d467ace34835bace12dacd800cc8d613369125c177f196af040ad4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45ba707ab30e798cf0c0d1a3db05a02ff40751a8147721c154db9a6d43c59c5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-05T08:15:57Z",
    "title_canon_sha256": "e9fc78020b770b278f31de86838b6c4b51d9c0e7bead1094d28c887df4b3ca80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1018",
    "kind": "arxiv",
    "version": 2
  }
}