Pith Number

pith:CXP7FVBH

pith:2014:CXP7FVBHHXIQZN6KRDW4SF64VQ

not attested not anchored not stored refs pending

Companion Matrices and Their Relations to Toeplitz and Hankel Matrices

robin hill, Yousong Luo

arxiv:1411.4592 v1 · 2014-11-13 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXP7FVBHHXIQZN6KRDW4SF64VQ}

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	2026-05-18T02:35:45.382819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15dff2d4273dd10cb7ca88edc917dcac26b6286e3522e62e6718e81ab44ba1c7

Aliases

arxiv: 1411.4592 · arxiv_version: 1411.4592v1 · doi: 10.48550/arxiv.1411.4592 · pith_short_12: CXP7FVBHHXIQ · pith_short_16: CXP7FVBHHXIQZN6K · pith_short_8: CXP7FVBH

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/CXP7FVBHHXIQZN6KRDW4SF64VQ \
  | 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: 15dff2d4273dd10cb7ca88edc917dcac26b6286e3522e62e6718e81ab44ba1c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8a798d9c3b3b8ddc4c63ff166f67b018186c21c0288eab8aaef9f3a5e536216",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2014-11-13T03:45:29Z",
    "title_canon_sha256": "52a77456adda28b7eca87a01a93bc192c70eaf348e5d0c5a7d016c6cb88d992d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4592",
    "kind": "arxiv",
    "version": 1
  }
}