Pith Number

pith:FCUGD3F7

pith:2016:FCUGD3F7ZTGOEEBJCT6EZA6354

not attested not anchored not stored refs pending

On the singular values of matrices with displacement structure

Alex Townsend, Bernhard Beckermann

arxiv:1609.09494 v1 · 2016-09-29 · math.NA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCUGD3F7ZTGOEEBJCT6EZA6354}

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	2026-05-18T01:03:35.883451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28a861ecbfcccce2102914fc4c83dbef1a1dd7c7d97741f052ea74b1727d29c9

Aliases

arxiv: 1609.09494 · arxiv_version: 1609.09494v1 · doi: 10.48550/arxiv.1609.09494 · pith_short_12: FCUGD3F7ZTGO · pith_short_16: FCUGD3F7ZTGOEEBJ · pith_short_8: FCUGD3F7

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/FCUGD3F7ZTGOEEBJCT6EZA6354 \
  | 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: 28a861ecbfcccce2102914fc4c83dbef1a1dd7c7d97741f052ea74b1727d29c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5779d7365cf7b4d822fe4335e67a3d18d7b1ad553030b4c83ef50d5c9c49ad8",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-09-29T12:26:08Z",
    "title_canon_sha256": "33b628021d2882c2857b8543e90c1131785ee0a18c5117c3da23c0937eab5c65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09494",
    "kind": "arxiv",
    "version": 1
  }
}