Pith Number

pith:XGLHXLLY

pith:2016:XGLHXLLYJFVAO32E2ALCUTE3D4

not attested not anchored not stored refs pending

Lower Bounds and the Asymptotic Behaviour of Positive Operator Semigroups

Jochen Gl\"uck, Moritz Gerlach

arxiv:1604.01743 v2 · 2016-04-06 · 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{XGLHXLLYJFVAO32E2ALCUTE3D4}

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	2026-05-18T01:17:32.193568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9967bad78496a076f44d0162a4c9b1f34c40544019044f5594eeb08ae2a6f92

Aliases

arxiv: 1604.01743 · arxiv_version: 1604.01743v2 · doi: 10.48550/arxiv.1604.01743 · pith_short_12: XGLHXLLYJFVA · pith_short_16: XGLHXLLYJFVAO32E · pith_short_8: XGLHXLLY

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/XGLHXLLYJFVAO32E2ALCUTE3D4 \
  | 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: b9967bad78496a076f44d0162a4c9b1f34c40544019044f5594eeb08ae2a6f92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76bb670662b69d885843e24e65c2f64f0329f004c9d127afbad8aa9b73e93341",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-06T19:36:58Z",
    "title_canon_sha256": "0206f79057aa3d17d2819d7aa4ae45384255ad3d6e1752fb07c25776cb3ed43a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01743",
    "kind": "arxiv",
    "version": 2
  }
}