Pith Number

pith:GMSFW2IO

pith:2016:GMSFW2IOQNSFIPMMDMCCXY6DYG

not attested not anchored not stored refs pending

Trace and determinant preserving maps of matrices

Chih-Neng Liu, Huajun Huang, Jun Zhang, Ming-Cheng Tsai, Patricia Szokol

arxiv:1603.03869 v1 · 2016-03-12 · math.RA · math.FA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMSFW2IOQNSFIPMMDMCCXY6DYG}

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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	2026-05-18T01:19:10.257695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33245b690e8364543d8c1b042be3c3c1899d4c3ef003da8bc18f95e5e2d61bde

Aliases

arxiv: 1603.03869 · arxiv_version: 1603.03869v1 · doi: 10.48550/arxiv.1603.03869 · pith_short_12: GMSFW2IOQNSF · pith_short_16: GMSFW2IOQNSFIPMM · pith_short_8: GMSFW2IO

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/GMSFW2IOQNSFIPMMDMCCXY6DYG \
  | 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: 33245b690e8364543d8c1b042be3c3c1899d4c3ef003da8bc18f95e5e2d61bde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ab26308ce522ff8247ebe4bfd6a8449496414b818017f0c9d46521f3eaa150e",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-03-12T07:52:19Z",
    "title_canon_sha256": "4678c5f536125f747cdf14c63e446620a8b5d83612ceaa4ad767cd5bad1e187a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03869",
    "kind": "arxiv",
    "version": 1
  }
}