Pith Number

pith:2QVCUTDW

pith:2016:2QVCUTDWEHK4ZTOKNUDT3NUHEC

not attested not anchored not stored refs pending

On the similarity of AB and BA for normal and other matrices

David Sherman, Gary Weiss, Stephan Ramon Garcia

arxiv:1605.04416 v3 · 2016-05-14 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2QVCUTDWEHK4ZTOKNUDT3NUHEC}

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	2026-07-05T02:12:38.022147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d42a2a4c7621d5cccdca6d073db68720bcf1ebedd6e57225784be576ebaeb89c

Aliases

arxiv: 1605.04416 · arxiv_version: 1605.04416v3 · doi: 10.48550/arxiv.1605.04416 · pith_short_12: 2QVCUTDWEHK4 · pith_short_16: 2QVCUTDWEHK4ZTOK · pith_short_8: 2QVCUTDW

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/2QVCUTDWEHK4ZTOKNUDT3NUHEC \
  | 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: d42a2a4c7621d5cccdca6d073db68720bcf1ebedd6e57225784be576ebaeb89c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa38f4e46cfe8a7262485ce8d8b2c5ea2d529f287b5df38ba9eb387159aa4c1a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-05-14T13:23:08Z",
    "title_canon_sha256": "3a7961c2135b1aea511b9f98ff2b60b2d8d5ea1a2f8b795ae4e5c3511d33be8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04416",
    "kind": "arxiv",
    "version": 3
  }
}