Pith Number

pith:ZO6EIE73

pith:2013:ZO6EIE736PROQPTHZOAMQRLDAW

not attested not anchored not stored refs pending

Approximating spectral densities of large matrices

Chao Yang, Lin Lin, Yousef Saad

arxiv:1308.5467 v2 · 2013-08-26 · 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{ZO6EIE736PROQPTHZOAMQRLDAW}

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	2026-05-18T02:41:08.943715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbbc4413fbf3e2e83e67cb80c84563058a0b0f8e7f83bd8985310cbf281a21f1

Aliases

arxiv: 1308.5467 · arxiv_version: 1308.5467v2 · doi: 10.48550/arxiv.1308.5467 · pith_short_12: ZO6EIE736PRO · pith_short_16: ZO6EIE736PROQPTH · pith_short_8: ZO6EIE73

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/ZO6EIE736PROQPTHZOAMQRLDAW \
  | 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: cbbc4413fbf3e2e83e67cb80c84563058a0b0f8e7f83bd8985310cbf281a21f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abb29b5bb06ddd438bed9123cbcd4bd5475139e28294a962dc730d38085dee5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-08-26T00:39:09Z",
    "title_canon_sha256": "b82cc1f63ca3faadbe408c555ed5ef9f4cf71f0ff3b6df6f6c6a0cb2cd773d5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5467",
    "kind": "arxiv",
    "version": 2
  }
}