Pith Number

pith:J7PPCBV3

pith:2025:J7PPCBV3WMVAL5F6SH6GRUZHJR

not attested not anchored not stored refs pending

Avoiding spectral pollution for transfer operators using residuals

April Herwig, Julia Slipantschuk, Matthew J. Colbrook, Oliver Junge, P\'eter Koltai

arxiv:2507.16915 v1 · 2025-07-22 · math.DS · cs.LG · cs.NA · math.NA · math.SP · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7PPCBV3WMVAL5F6SH6GRUZHJR}

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

Sampling pseudospectrum for data-driven matrices

Receipt and verification

First computed	2026-07-05T11:41:58.212786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fdef106bbb32a05f4be91fc68d3274c604829bf2382c2fd18b05ef66c6f5f61

Aliases

arxiv: 2507.16915 · arxiv_version: 2507.16915v1 · doi: 10.48550/arxiv.2507.16915 · pith_short_12: J7PPCBV3WMVA · pith_short_16: J7PPCBV3WMVAL5F6 · pith_short_8: J7PPCBV3

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/J7PPCBV3WMVAL5F6SH6GRUZHJR \
  | 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: 4fdef106bbb32a05f4be91fc68d3274c604829bf2382c2fd18b05ef66c6f5f61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baf3a8f425c74430bf5690532fc5cf17eebf147241c83793be17a2c9826b067d",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA",
      "math.SP",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-07-22T18:01:05Z",
    "title_canon_sha256": "31676c3bddfa101f6fd20940f615054e5a93ca0d32007e790eff5b71bb04e11b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16915",
    "kind": "arxiv",
    "version": 1
  }
}