Pith Number

pith:OQGG2DOL

pith:2019:OQGG2DOLHIEQ5LWE763REVL2K2

not attested not anchored not stored refs pending

Nonsurjective maps between rectangular matrix spaces preserving disjointness, triple products, or norms

Chi-Kwong Li, Ming-Cheng Tsai, Ngai-Ching Wong, Ya-Shu Wang

arxiv:1903.03456 v2 · 2019-03-05 · math.RA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OQGG2DOLHIEQ5LWE763REVL2K2}

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	2026-05-17T23:40:43.367442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

740c6d0dcb3a090eaec4ffb712557a56a064ff2737dd2d4350603119b1b6f568

Aliases

arxiv: 1903.03456 · arxiv_version: 1903.03456v2 · doi: 10.48550/arxiv.1903.03456 · pith_short_12: OQGG2DOLHIEQ · pith_short_16: OQGG2DOLHIEQ5LWE · pith_short_8: OQGG2DOL

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/OQGG2DOLHIEQ5LWE763REVL2K2 \
  | 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: 740c6d0dcb3a090eaec4ffb712557a56a064ff2737dd2d4350603119b1b6f568

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9455401ca5751806ed9e47ca7bde67b7131ae59a4d797ef60659bce18a2048e",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-03-05T23:30:10Z",
    "title_canon_sha256": "6834dd08995a7ad3248c00c8b18ac387fd854909e53940af407339ff799676f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03456",
    "kind": "arxiv",
    "version": 2
  }
}