Pith Number

pith:7Q5M7BS4

pith:2024:7Q5M7BS4HFVPOS76PHEMZY45NF

not attested not anchored not stored refs pending

Matrices with Hyperbolical Krein Space Numerical Range

G. Soares, N. Bebiano, R. Lemos

arxiv:2407.03164 v2 · 2024-07-03 · 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{7Q5M7BS4HFVPOS76PHEMZY45NF}

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	2026-07-05T08:40:20.707229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc3acf865c396af74bfe79c8cce39d694dafb18a1fa3cec1262a082f7930d249

Aliases

arxiv: 2407.03164 · arxiv_version: 2407.03164v2 · doi: 10.48550/arxiv.2407.03164 · pith_short_12: 7Q5M7BS4HFVP · pith_short_16: 7Q5M7BS4HFVPOS76 · pith_short_8: 7Q5M7BS4

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/7Q5M7BS4HFVPOS76PHEMZY45NF \
  | 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: fc3acf865c396af74bfe79c8cce39d694dafb18a1fa3cec1262a082f7930d249

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "578ddb95fe498e47bcfac16c9575bc8c872e16090b76914f16e4593475509353",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-07-03T14:37:44Z",
    "title_canon_sha256": "c7e00a4e58ac7560294070cace71f9a92f857ecc8d97fa072dd6ee1012adf605"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.03164",
    "kind": "arxiv",
    "version": 2
  }
}