Pith Number

pith:OP7RUIQT

pith:2016:OP7RUIQT4HYJBHADHK4LKYXSTR

not attested not anchored not stored refs pending

Approximating the Spectral Sums of Large-scale Matrices using Chebyshev Approximations

Dmitry Malioutov, Haim Avron, Insu Han, Jinwoo Shin

arxiv:1606.00942 v2 · 2016-06-03 · cs.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{OP7RUIQT4HYJBHADHK4LKYXSTR}

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	2026-05-18T00:49:04.614984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73ff1a2213e1f0909c033ab8b562f29c517dd47315704540f8eb114c3b5c9242

Aliases

arxiv: 1606.00942 · arxiv_version: 1606.00942v2 · doi: 10.48550/arxiv.1606.00942 · pith_short_12: OP7RUIQT4HYJ · pith_short_16: OP7RUIQT4HYJBHAD · pith_short_8: OP7RUIQT

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/OP7RUIQT4HYJBHADHK4LKYXSTR \
  | 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: 73ff1a2213e1f0909c033ab8b562f29c517dd47315704540f8eb114c3b5c9242

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0b2bbd357410f7e172f849f5df90fb6062d42c2d9c139fc22dd1596980f7cca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-06-03T01:36:29Z",
    "title_canon_sha256": "08a5e86c4d7aea75e6f069084ced4fa9d0a9f32ca518dc0a48d377373aa60867"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.00942",
    "kind": "arxiv",
    "version": 2
  }
}