Pith Number

pith:4O2M2HU5

pith:2016:4O2M2HU5KHDPELYNZCAS257GWM

not attested not anchored not stored refs pending

Explicit constructions and properties of generalized shift-invariant systems in $L^2(\mathbb{R})$

Jakob Lemvig, Marzieh Hasannasab, Ole Christensen

arxiv:1610.04067 v1 · 2016-10-13 · 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{4O2M2HU5KHDPELYNZCAS257GWM}

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	2026-05-18T01:02:22.513038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3b4cd1e9d51c6f22f0dc8812d77e6b300ea996246597dee616842a3635cb5cf

Aliases

arxiv: 1610.04067 · arxiv_version: 1610.04067v1 · doi: 10.48550/arxiv.1610.04067 · pith_short_12: 4O2M2HU5KHDP · pith_short_16: 4O2M2HU5KHDPELYN · pith_short_8: 4O2M2HU5

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/4O2M2HU5KHDPELYNZCAS257GWM \
  | 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: e3b4cd1e9d51c6f22f0dc8812d77e6b300ea996246597dee616842a3635cb5cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00689e95056978fd9d45f4c06942295aa31eddc8307efd03b6359f00022380bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-10-13T13:22:36Z",
    "title_canon_sha256": "3f324855df466d3ceb2c1076741d1f879e455f9d3bb96e64c914d40c14dba8e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04067",
    "kind": "arxiv",
    "version": 1
  }
}