Pith Number

pith:BICZHY3S

pith:2014:BICZHY3SM4UGVKNPPTT7EWI6K3

not attested not anchored not stored refs pending

The Theory of Quaternion Matrix Derivatives

Danilo P. Mandic, Dongpo Xu

arxiv:1410.0563 v1 · 2014-10-01 · 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{BICZHY3SM4UGVKNPPTT7EWI6K3}

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	2026-05-18T02:25:26.301297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a0593e37267286aa9af7ce7f2591e56cdb261bb5a2bdb4028a77a7b00f72dca

Aliases

arxiv: 1410.0563 · arxiv_version: 1410.0563v1 · doi: 10.48550/arxiv.1410.0563 · pith_short_12: BICZHY3SM4UG · pith_short_16: BICZHY3SM4UGVKNP · pith_short_8: BICZHY3S

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/BICZHY3SM4UGVKNPPTT7EWI6K3 \
  | 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: 0a0593e37267286aa9af7ce7f2591e56cdb261bb5a2bdb4028a77a7b00f72dca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffc176e4e96f42d1220941fb7d8f4356b32c49932c4e2453b8d212d479859183",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2014-10-01T07:45:20Z",
    "title_canon_sha256": "74c97c047c09aab509db3e22c70744e50337415cc41d461f11af12238becc5f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0563",
    "kind": "arxiv",
    "version": 1
  }
}