Pith Number

pith:PLXS3P3H

pith:2015:PLXS3P3HQETYY7UK6UEQTXAHSL

not attested not anchored not stored refs pending

Growth rates and the peripheral spectrum of positive operators

Jochen Gl\"uck

arxiv:1512.07483 v2 · 2015-12-23 · 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{PLXS3P3HQETYY7UK6UEQTXAHSL}

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	2026-05-18T01:21:03.896787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aef2dbf6781278c7e8af50909dc0792eb47089f66883f228840766aec0de46b

Aliases

arxiv: 1512.07483 · arxiv_version: 1512.07483v2 · doi: 10.48550/arxiv.1512.07483 · pith_short_12: PLXS3P3HQETY · pith_short_16: PLXS3P3HQETYY7UK · pith_short_8: PLXS3P3H

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/PLXS3P3HQETYY7UK6UEQTXAHSL \
  | 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: 7aef2dbf6781278c7e8af50909dc0792eb47089f66883f228840766aec0de46b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcd2eec392f49d50c46efd65a152099f02e2cb82dd8c0cd25e8988efaa97ab94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-23T14:16:06Z",
    "title_canon_sha256": "bd724d2308f7ac93b0744864dd803ebf485f6338dcf7a068bf0bad9773dbf278"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07483",
    "kind": "arxiv",
    "version": 2
  }
}