Pith Number

pith:GYJWBV26

pith:2025:GYJWBV2657PSO6JMJ4UDHLVPC3

not attested not anchored not stored refs pending

Sectional Kolmogorov N-widths for parameter-dependent function spaces: A general framework with application to parametrized Friedrichs' systems

Christian Engwer, Lukas Renelt, Mario Ohlberger

arxiv:2507.00678 v1 · 2025-07-01 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GYJWBV2657PSO6JMJ4UDHLVPC3}

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	2026-07-05T11:30:12.864126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

361360d75eefdf27792c4f2833aeaf16d9b5549af2cc3edd3caa9191af6ef776

Aliases

arxiv: 2507.00678 · arxiv_version: 2507.00678v1 · doi: 10.48550/arxiv.2507.00678 · pith_short_12: GYJWBV2657PS · pith_short_16: GYJWBV2657PSO6JM · pith_short_8: GYJWBV26

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/GYJWBV2657PSO6JMJ4UDHLVPC3 \
  | 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: 361360d75eefdf27792c4f2833aeaf16d9b5549af2cc3edd3caa9191af6ef776

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c37ba0d8c20194bbd50ce1ff07f499fc4b39f1bc013d7c09e68b32fd39d2068",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-07-01T11:20:33Z",
    "title_canon_sha256": "f8514a905d65f1ba8fed6de59b592ba207daac7bb46655d9d283e60af9ce396b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.00678",
    "kind": "arxiv",
    "version": 1
  }
}