Pith Number

pith:QY4LTYXU

pith:2019:QY4LTYXUCQEXWASQYB4B6QICNM

not attested not anchored not stored refs pending

Four Deviations Suffice for Rank 1 Matrices

Kyle Luh, Rasmus Kyng, Zhao Song

arxiv:1901.06731 v4 · 2019-01-20 · math.CO · cs.DM · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QY4LTYXUCQEXWASQYB4B6QICNM}

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.

Cited by

1 paper in Pith

Central limit theorems and the geometry of polynomials

Receipt and verification

First computed	2026-07-05T01:24:26.477590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8638b9e2f414097b0250c0781f41026b364cf5f04fb1f8d4f5c2d2190b289206

Aliases

arxiv: 1901.06731 · arxiv_version: 1901.06731v4 · doi: 10.48550/arxiv.1901.06731 · pith_short_12: QY4LTYXUCQEX · pith_short_16: QY4LTYXUCQEXWASQ · pith_short_8: QY4LTYXU

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/QY4LTYXUCQEXWASQYB4B6QICNM \
  | 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: 8638b9e2f414097b0250c0781f41026b364cf5f04fb1f8d4f5c2d2190b289206

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dde4cad8c7fbb6f3b672cd9eb2f918503c7774011d01ff545665dc19a59ec39",
    "cross_cats_sorted": [
      "cs.DM",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-20T21:05:04Z",
    "title_canon_sha256": "98bb17094f6e776c4b165c99baafd9f7745e016976774cb25f1f80b5a32323d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06731",
    "kind": "arxiv",
    "version": 4
  }
}