Pith Number

pith:LNDUJA7R

pith:2016:LNDUJA7RQNWEIF7P3EXXLUYKCI

not attested not anchored not stored refs pending

An autocorrelation and discrete spectrum for dynamical systems on metric spaces

Daniel Lenz

arxiv:1608.05636 v1 · 2016-08-19 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LNDUJA7RQNWEIF7P3EXXLUYKCI}

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

Discrete spectrum for amenable group actions

Receipt and verification

First computed	2026-05-18T01:08:27.994891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b474483f1836c4417efd92f75d30a12100d5f7d074dc7c39bd2dc53f0197de2

Aliases

arxiv: 1608.05636 · arxiv_version: 1608.05636v1 · doi: 10.48550/arxiv.1608.05636 · pith_short_12: LNDUJA7RQNWE · pith_short_16: LNDUJA7RQNWEIF7P · pith_short_8: LNDUJA7R

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/LNDUJA7RQNWEIF7P3EXXLUYKCI \
  | 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: 5b474483f1836c4417efd92f75d30a12100d5f7d074dc7c39bd2dc53f0197de2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46286ead54068103a6203f06d8bede1d35eb062bd230882dafe2699a8fbc0ab0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-08-19T15:21:52Z",
    "title_canon_sha256": "0ec0544899dede46531c2993280191bda60a0dca3dc663330ac63ccf124d52ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05636",
    "kind": "arxiv",
    "version": 1
  }
}