Pith Number

pith:4EYVWCQA

pith:2016:4EYVWCQAXXUKL72WNCIYUY5LFA

not attested not anchored not stored refs pending

Spectral Analysis for Perturbed Operators on Carnot Groups

Marius Mantoiu

arxiv:1606.04810 v1 · 2016-06-15 · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4EYVWCQAXXUKL72WNCIYUY5LFA}

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	2026-05-18T01:12:23.313081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1315b0a00bde8a5ff5668918a63ab280de2ca4814db062bb9ed35e8b0c48a84

Aliases

arxiv: 1606.04810 · arxiv_version: 1606.04810v1 · doi: 10.48550/arxiv.1606.04810 · pith_short_12: 4EYVWCQAXXUK · pith_short_16: 4EYVWCQAXXUKL72W · pith_short_8: 4EYVWCQA

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/4EYVWCQAXXUKL72WNCIYUY5LFA \
  | 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: e1315b0a00bde8a5ff5668918a63ab280de2ca4814db062bb9ed35e8b0c48a84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5be3e38d3e5e308d60249066c429040df7fb9fad1fd1c439b78a5a33d3cf4bda",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-06-15T15:16:58Z",
    "title_canon_sha256": "d67fc6378e46c7e77708c2ed242f2623e5e09642c83bda672b346e5e881e1b0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04810",
    "kind": "arxiv",
    "version": 1
  }
}