Pith Number

pith:CYQDM3DK

pith:2012:CYQDM3DKXFSCWRUMV6W45CF2IA

not attested not anchored not stored refs pending

An upper bound for the determinant of a diagonally balanced symmetric matrix

Minghua Lin

arxiv:1212.1934 v1 · 2012-12-09 · 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{CYQDM3DKXFSCWRUMV6W45CF2IA}

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	2026-05-18T03:38:54.711876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1620366c6ab9642b468cafadce88ba4013241fa5774265a60c19843ac5fb99e3

Aliases

arxiv: 1212.1934 · arxiv_version: 1212.1934v1 · doi: 10.48550/arxiv.1212.1934 · pith_short_12: CYQDM3DKXFSC · pith_short_16: CYQDM3DKXFSCWRUM · pith_short_8: CYQDM3DK

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/CYQDM3DKXFSCWRUMV6W45CF2IA \
  | 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: 1620366c6ab9642b468cafadce88ba4013241fa5774265a60c19843ac5fb99e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bfd0ce6eea0cfc2c38c3e981b932b6ed35bf8b82357bf998b124560e31b9001",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-12-09T23:20:02Z",
    "title_canon_sha256": "ba5aa6a575dcba271a224d12c72a60469a43047a222d2e49cc9258b106c485ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1934",
    "kind": "arxiv",
    "version": 1
  }
}