Pith Number

pith:IDWD4SHD

pith:2016:IDWD4SHDOPCTNVAINDBU6FJ2EI

not attested not anchored not stored refs pending

Numerical tolerance for spectral decompositions of random matrices

Avanti Athreya, Bryan Lewis, Carey E. Priebe, Michael Kane, Minh Tang, Vince Lyzinski, Youngser Park, Zachary Lubberts

arxiv:1608.00451 v3 · 2016-08-01 · stat.CO · cs.NA · 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{IDWD4SHDOPCTNVAINDBU6FJ2EI}

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	2026-07-05T00:37:24.979844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40ec3e48e373c536d40868c34f153a22129267ffbf9f067d6e96f88f4d31fa93

Aliases

arxiv: 1608.00451 · arxiv_version: 1608.00451v3 · doi: 10.48550/arxiv.1608.00451 · pith_short_12: IDWD4SHDOPCT · pith_short_16: IDWD4SHDOPCTNVAI · pith_short_8: IDWD4SHD

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/IDWD4SHDOPCTNVAINDBU6FJ2EI \
  | 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: 40ec3e48e373c536d40868c34f153a22129267ffbf9f067d6e96f88f4d31fa93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d1d7741414adf0dd7870539e4e19b1e48dbc99cb737c92465ac1dfd3bd265ff",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2016-08-01T14:46:02Z",
    "title_canon_sha256": "fc3fa665cd206bc252bd3f7e445ac0d25fc8975b98ba6f427a0bbc415e7fb874"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00451",
    "kind": "arxiv",
    "version": 3
  }
}