Pith Number

pith:JXNFZFSU

pith:2008:JXNFZFSUUP6ONGHUQYOWYF5TAR

not attested not anchored not stored refs pending

Discrete spectrum in a critical coupling case of Jacobi matrices with spectral phase transitions by uniform asymptotic analysis

Irina Pchelintseva, Luis O. Silva, Serguei Naboko

arxiv:0803.3288 v1 · 2008-03-22 · 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{JXNFZFSUUP6ONGHUQYOWYF5TAR}

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	2026-07-04T15:10:22.615229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dda5c9654a3fce698f4861d6c17b30460442ee783ba11fa8376c78b05bb4297

Aliases

arxiv: 0803.3288 · arxiv_version: 0803.3288v1 · doi: 10.48550/arxiv.0803.3288 · pith_short_12: JXNFZFSUUP6O · pith_short_16: JXNFZFSUUP6ONGHU · pith_short_8: JXNFZFSU

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/JXNFZFSUUP6ONGHUQYOWYF5TAR \
  | 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: 4dda5c9654a3fce698f4861d6c17b30460442ee783ba11fa8376c78b05bb4297

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c999951d6bd833e2dc9b190d41ae911f2cba80957ee5b974a4048f91648ae065",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2008-03-22T20:06:24Z",
    "title_canon_sha256": "2a0cc9a83013d95351871c0893f9919f5786a095dc71fd6ecd9d6933e447db0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3288",
    "kind": "arxiv",
    "version": 1
  }
}