Pith Number

pith:JRU2YY4L

pith:2016:JRU2YY4LXBDQUUV3MM3LWCFO4O

not attested not anchored not stored refs pending

Spectral representations of normal operators via Intertwining Quaternionic Projection Valued Measures

Alessandro Perotti, Riccardo Ghiloni, Valter Moretti

arxiv:1602.02661 v2 · 2016-02-08 · math.FA · hep-th · math-ph · math.CV · math.MP · 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{JRU2YY4LXBDQUUV3MM3LWCFO4O}

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	2026-05-18T00:32:31.480394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c69ac638bb8470a52bb6336bb08aee39052eda8f4344d616b9b26a9eee4bbb9

Aliases

arxiv: 1602.02661 · arxiv_version: 1602.02661v2 · doi: 10.48550/arxiv.1602.02661 · pith_short_12: JRU2YY4LXBDQ · pith_short_16: JRU2YY4LXBDQUUV3 · pith_short_8: JRU2YY4L

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/JRU2YY4LXBDQUUV3MM3LWCFO4O \
  | 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: 4c69ac638bb8470a52bb6336bb08aee39052eda8f4344d616b9b26a9eee4bbb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f333da1e79345dc2ae93bf390786dc1f8ee0a6416d55e1a94821b99c4f167e4",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.CV",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-02-08T17:38:12Z",
    "title_canon_sha256": "0040b2a50ae4bf5c869a68f030a54358bd9c920395a196dc52887767efd8e8f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02661",
    "kind": "arxiv",
    "version": 2
  }
}