Pith Number

pith:4A3QWVNI

pith:2025:4A3QWVNIGCIAEVSSHENTBHV5X4

not attested not anchored not stored refs pending

Subdifferential of the $\mathcal{B(H,K)}$ norm, and approximate orthogonality

Krishna Kumar Gupta, Priyanka Grover, Susmita Seal

arxiv:2505.06925 v4 · 2025-05-11 · 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{4A3QWVNIGCIAEVSSHENTBHV5X4}

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	2026-05-25T02:01:03.973071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0370b55a83090025652391b309ebdbf1051c02065fd8c2562d9215093fad012

Aliases

arxiv: 2505.06925 · arxiv_version: 2505.06925v4 · doi: 10.48550/arxiv.2505.06925 · pith_short_12: 4A3QWVNIGCIA · pith_short_16: 4A3QWVNIGCIAEVSS · pith_short_8: 4A3QWVNI

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/4A3QWVNIGCIAEVSSHENTBHV5X4 \
  | 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: e0370b55a83090025652391b309ebdbf1051c02065fd8c2562d9215093fad012

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff0f372bfc3d0bd900766c3aae5d10047f60bc6e7b7a677dcced3ec520ae10ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-05-11T10:00:44Z",
    "title_canon_sha256": "2f85d369004539a08e90c9631704345cda8b567ef48fa58056de12d60960c77c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.06925",
    "kind": "arxiv",
    "version": 4
  }
}