Pith Number

pith:LQYBCJNM

pith:2019:LQYBCJNMODUHMKP2VPZ5DVJEOU

not attested not anchored not stored refs pending

Transfer operators, atomic decomposition and the Bestiary

Daniel Smania

arxiv:1903.06976 v2 · 2019-03-16 · math.DS · math.AP · math.CA · 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{LQYBCJNMODUHMKP2VPZ5DVJEOU}

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.

Cited by

1 paper in Pith

Discontinuous observables as an obstruction for small essential spectral radius

Receipt and verification

First computed	2026-07-05T02:41:26.368836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c301125ac70e87629faabf3d1d524750203e4a9d843b233a6d53dc873e5170e

Aliases

arxiv: 1903.06976 · arxiv_version: 1903.06976v2 · doi: 10.48550/arxiv.1903.06976 · pith_short_12: LQYBCJNMODUH · pith_short_16: LQYBCJNMODUHMKP2 · pith_short_8: LQYBCJNM

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/LQYBCJNMODUHMKP2VPZ5DVJEOU \
  | 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: 5c301125ac70e87629faabf3d1d524750203e4a9d843b233a6d53dc873e5170e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec7e78ef03233e77a4234c00ff1d25566c2d40483795a6e26247f65698f0710c",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-03-16T19:31:42Z",
    "title_canon_sha256": "7303078e2bf212f52f8580218d8e0af6ec605839479a9dde3dc4fb895af370f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06976",
    "kind": "arxiv",
    "version": 2
  }
}