Pith Number

pith:DTNX4AOU

pith:2016:DTNX4AOUAVBVDLZB6XYWNQDYT4

not attested not anchored not stored refs pending

Unitary similarity invariant function preservers of skew products of operators

Chi-Kwong Li, Jianlian Cui, Nung-sing Sze

arxiv:1608.01758 v3 · 2016-08-05 · 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{DTNX4AOUAVBVDLZB6XYWNQDYT4}

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	2026-05-18T00:45:26.057593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cdb7e01d4054351af21f5f166c0789f04649d6788e910a92733066904e134f2

Aliases

arxiv: 1608.01758 · arxiv_version: 1608.01758v3 · doi: 10.48550/arxiv.1608.01758 · pith_short_12: DTNX4AOUAVBV · pith_short_16: DTNX4AOUAVBVDLZB · pith_short_8: DTNX4AOU

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/DTNX4AOUAVBVDLZB6XYWNQDYT4 \
  | 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: 1cdb7e01d4054351af21f5f166c0789f04649d6788e910a92733066904e134f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67ab01af834096814f23fcd45ade66549561adc45e5ff1456a7ce5321581dcaa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-08-05T04:41:17Z",
    "title_canon_sha256": "89679065b8143c209dec6a72bdee1f7d2eb46aec7557a6b3aabb645a49c48fb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.01758",
    "kind": "arxiv",
    "version": 3
  }
}