Pith Number

pith:TI75LNCY

pith:2010:TI75LNCYGFBEPSZYKZYWMGKS3R

not attested not anchored not stored refs pending

Perturbations of eigenvalues embedded at threshold: one, two and three dimensional solvable models

Claudio Cacciapuoti, Raffaele Carlone, Rodolfo Figari

arxiv:1006.1372 v1 · 2010-06-07 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TI75LNCYGFBEPSZYKZYWMGKS3R}

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	2026-05-18T02:06:56.401741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a3fd5b458314247cb385671661952dc78626c65acd838d3da52401b175bf9f5

Aliases

arxiv: 1006.1372 · arxiv_version: 1006.1372v1 · doi: 10.48550/arxiv.1006.1372 · pith_short_12: TI75LNCYGFBE · pith_short_16: TI75LNCYGFBEPSZY · pith_short_8: TI75LNCY

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/TI75LNCYGFBEPSZYKZYWMGKS3R \
  | 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: 9a3fd5b458314247cb385671661952dc78626c65acd838d3da52401b175bf9f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95470a068ba01621133f09620f1a601811df76aef4649795c91ca12f200d0d23",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-06-07T20:46:24Z",
    "title_canon_sha256": "fcde3b1dfc88b59561ffb8cf942616fbded712e3956c4d96dd75a9b6dbad7466"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1372",
    "kind": "arxiv",
    "version": 1
  }
}