Pith Number

pith:NPKEX4GZ

pith:2004:NPKEX4GZSTNPYKQCTRSDVCDNJ5

not attested not anchored not stored refs pending

The Cayley-Menger determinant is irreducible for $n\geq 3$

Carlos D'Andrea, Martin Sombra

arxiv:math/0406359 v1 · 2004-06-18 · math.AC · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NPKEX4GZSTNPYKQCTRSDVCDNJ5}

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

Higher-Spin Correlators in dS

Receipt and verification

First computed	2026-07-04T14:38:43.664356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bd44bf0d994dafc2a029c643a886d4f4924119d3332ad013ee928994a977181

Aliases

arxiv: math/0406359 · arxiv_version: math/0406359v1 · doi: 10.48550/arxiv.math/0406359 · pith_short_12: NPKEX4GZSTNP · pith_short_16: NPKEX4GZSTNPYKQC · pith_short_8: NPKEX4GZ

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/NPKEX4GZSTNPYKQCTRSDVCDNJ5 \
  | 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: 6bd44bf0d994dafc2a029c643a886d4f4924119d3332ad013ee928994a977181

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53b541d7187b243adf5b61329b5e77c44f9fbea617b1bb3659bdbda3c74623ce",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.AC",
    "submitted_at": "2004-06-18T00:36:58Z",
    "title_canon_sha256": "d571be40f3a6f501d21aa53f49af392b7fe315bd68c982aaad4698250eb9a55b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406359",
    "kind": "arxiv",
    "version": 1
  }
}