Pith Number

pith:UMJATIQW

pith:2016:UMJATIQWJPIWQVGH3C2LJLTNR2

not attested not anchored not stored refs pending

On the decay of the off-diagonal singular values in cyclic reduction

Dario Andrea Bini, Leonardo Robol, Stefano Massei

arxiv:1608.01567 v2 · 2016-08-04 · 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{UMJATIQWJPIWQVGH3C2LJLTNR2}

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	2026-05-18T00:52:44.168873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a31209a2164bd16854c7d8b4b4ae6d8ea63d18139badfe81cca749d855454d73

Aliases

arxiv: 1608.01567 · arxiv_version: 1608.01567v2 · doi: 10.48550/arxiv.1608.01567 · pith_short_12: UMJATIQWJPIW · pith_short_16: UMJATIQWJPIWQVGH · pith_short_8: UMJATIQW

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/UMJATIQWJPIWQVGH3C2LJLTNR2 \
  | 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: a31209a2164bd16854c7d8b4b4ae6d8ea63d18139badfe81cca749d855454d73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "948c7afa4d8cff3841b736aab215f7ae40c2dd4d67f1b6ff804444465c577858",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-08-04T14:58:44Z",
    "title_canon_sha256": "6b3bcc518361636622547f799b7d82d7e63f1cfa0d34fba7be218e93dd1caa4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01567",
    "kind": "arxiv",
    "version": 2
  }
}