Pith Number

pith:3WFP2RWT

pith:2017:3WFP2RWT33VTXHU6HW6WT65V3Z

not attested not anchored not stored refs pending

The circular law for sparse non-Hermitian matrices

Anirban Basak, Mark Rudelson

arxiv:1707.03675 v2 · 2017-07-12 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3WFP2RWT33VTXHU6HW6WT65V3Z}

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	2026-05-18T00:13:37.766415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd8afd46d3deeb3b9e9e3dbd69fbb5de770d9d6d125277c96b98df404c7244bd

Aliases

arxiv: 1707.03675 · arxiv_version: 1707.03675v2 · doi: 10.48550/arxiv.1707.03675 · pith_short_12: 3WFP2RWT33VT · pith_short_16: 3WFP2RWT33VTXHU6 · pith_short_8: 3WFP2RWT

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/3WFP2RWT33VTXHU6HW6WT65V3Z \
  | 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: dd8afd46d3deeb3b9e9e3dbd69fbb5de770d9d6d125277c96b98df404c7244bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "922ccaf23a1d8085818365ac722851c9048141331c741bed64f57a3ec05cc1b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-07-12T12:25:57Z",
    "title_canon_sha256": "fa16c140060b63075653127baca0156e6304227a8c346b1bb5675b91664abb11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.03675",
    "kind": "arxiv",
    "version": 2
  }
}