Pith Number

pith:US3NFVI6

pith:2014:US3NFVI6SSIM67T7N7DAGMCL2X

not attested not anchored not stored refs pending

The smallest singular value of random rectangular matrices with no moment assumptions on entries

Konstantin E. Tikhomirov

arxiv:1409.7975 v1 · 2014-09-29 · 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{US3NFVI6SSIM67T7N7DAGMCL2X}

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	2026-05-18T02:41:33.936011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4b6d2d51e9490cf7e7f6fc603304bd5d42bffc2369b6c6eac74d214601773a2

Aliases

arxiv: 1409.7975 · arxiv_version: 1409.7975v1 · doi: 10.48550/arxiv.1409.7975 · pith_short_12: US3NFVI6SSIM · pith_short_16: US3NFVI6SSIM67T7 · pith_short_8: US3NFVI6

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/US3NFVI6SSIM67T7N7DAGMCL2X \
  | 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: a4b6d2d51e9490cf7e7f6fc603304bd5d42bffc2369b6c6eac74d214601773a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbd10f8b4f9f8c232cec7f0b376d3ad9dbb067681d3f612ceb4eac476bf3b68a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-09-29T00:53:01Z",
    "title_canon_sha256": "ce2db8b368a5abcfb2c9d1352277636cded9fb88827c65c04bb3e4de09f0d5bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7975",
    "kind": "arxiv",
    "version": 1
  }
}