Pith Number

pith:RM4RNYR3

pith:2015:RM4RNYR3GK32FETFTB47HQT4WK

not attested not anchored not stored refs pending

Using $q$-calculus to study $LDL^T$ factorization of a certain Vandermonde matrix

Alexey Kuznetsov

arxiv:1507.02959 v2 · 2015-07-02 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RM4RNYR3GK32FETFTB47HQT4WK}

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	2026-05-18T00:47:51.275201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b3916e23b32b7a292659879f3c27cb2bcf2a9f8623e873292c035d1aab96a60

Aliases

arxiv: 1507.02959 · arxiv_version: 1507.02959v2 · doi: 10.48550/arxiv.1507.02959 · pith_short_12: RM4RNYR3GK32 · pith_short_16: RM4RNYR3GK32FETF · pith_short_8: RM4RNYR3

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/RM4RNYR3GK32FETFTB47HQT4WK \
  | 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: 8b3916e23b32b7a292659879f3c27cb2bcf2a9f8623e873292c035d1aab96a60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9f7ce03208ef7562fdc74250d6e963e223627b21beb68bf7c8e2c196176cdc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-07-02T16:12:24Z",
    "title_canon_sha256": "f33677abd7c98883adb490907502e215dc94f3e2fb2551f0bcbaa93e712a2940"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02959",
    "kind": "arxiv",
    "version": 2
  }
}