Pith Number

pith:24OPSKVK

pith:2018:24OPSKVKEE6C2AXXYISVG5QLPX

not attested not anchored not stored refs pending

The $n$ body matrix and its determinant

Darij Grinberg, Peter J. Olver

arxiv:1802.02900 v4 · 2018-02-08 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{24OPSKVKEE6C2AXXYISVG5QLPX}

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	2026-05-17T23:48:06.784596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d71cf92aaa213c2d02f7c22553760b7df3aa59a28453012d998e2fabe11eda6b

Aliases

arxiv: 1802.02900 · arxiv_version: 1802.02900v4 · doi: 10.48550/arxiv.1802.02900 · pith_short_12: 24OPSKVKEE6C · pith_short_16: 24OPSKVKEE6C2AXX · pith_short_8: 24OPSKVK

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/24OPSKVKEE6C2AXXYISVG5QLPX \
  | 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: d71cf92aaa213c2d02f7c22553760b7df3aa59a28453012d998e2fabe11eda6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75ad83ac322084cd39347bd50a891fb35d417caf9b31f33c9a031abc9d30f073",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-02-08T14:51:51Z",
    "title_canon_sha256": "7d13f5d54878db274a4f9392848c92b62a1da79ae0dd5d224dd1e2c9a81f6604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02900",
    "kind": "arxiv",
    "version": 4
  }
}