Pith Number

pith:XE6TT5TZ

pith:2016:XE6TT5TZNFIXVFJDKWACRBPE7P

not attested not anchored not stored refs pending

On Spectral Approximations With Nonstandard Weight Functions and Their Implementations to Generalized Chaos Expansions

Adi Ditkowski, Rami Kats

arxiv:1611.00242 v2 · 2016-11-01 · math.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{XE6TT5TZNFIXVFJDKWACRBPE7P}

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	2026-05-18T00:39:13.036712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b93d39f67969517a952355802885e4fbddc9b1884ddb6de7cc443f36a5fe51de

Aliases

arxiv: 1611.00242 · arxiv_version: 1611.00242v2 · doi: 10.48550/arxiv.1611.00242 · pith_short_12: XE6TT5TZNFIX · pith_short_16: XE6TT5TZNFIXVFJD · pith_short_8: XE6TT5TZ

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/XE6TT5TZNFIXVFJDKWACRBPE7P \
  | 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: b93d39f67969517a952355802885e4fbddc9b1884ddb6de7cc443f36a5fe51de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "594ec3d9279dc3f137ccd535b8e4bed988e6f1c24bc5be613f41458824b52ce6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-11-01T14:27:40Z",
    "title_canon_sha256": "4322ea6b8b0cced1c33454e1f9d31d2b288f1c45e87188bc6a95e7dcd087e887"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00242",
    "kind": "arxiv",
    "version": 2
  }
}