Pith Number

pith:SBJ5TP3F

pith:2013:SBJ5TP3FMK6XYQVJRMNKVF67ZT

not attested not anchored not stored refs pending

On certain multivariate Vandermonde determinants whose variables separate

Konstantin Usevich, Stefano De Marchi

arxiv:1311.6455 v3 · 2013-11-25 · 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{SBJ5TP3FMK6XYQVJRMNKVF67ZT}

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	2026-05-18T02:56:43.720116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9053d9bf6562bd7c42a98b1aaa97dfccc207b6b2c42c27e48b4eef92b2922239

Aliases

arxiv: 1311.6455 · arxiv_version: 1311.6455v3 · doi: 10.48550/arxiv.1311.6455 · pith_short_12: SBJ5TP3FMK6X · pith_short_16: SBJ5TP3FMK6XYQVJ · pith_short_8: SBJ5TP3F

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/SBJ5TP3FMK6XYQVJRMNKVF67ZT \
  | 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: 9053d9bf6562bd7c42a98b1aaa97dfccc207b6b2c42c27e48b4eef92b2922239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44332410d0c3a6f1d8f137223d43c4eb6de139499fab27fe0b3bd0d114adc911",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-11-25T20:47:25Z",
    "title_canon_sha256": "a069a52d9c22726fbf1df78185f3be4fb25ed7cb21e09dd0bcb7dedf75aa272f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6455",
    "kind": "arxiv",
    "version": 3
  }
}