Pith Number

pith:6WZESP6O

pith:2012:6WZESP6OIF6W7WFKHYYZ6JSAVH

not attested not anchored not stored refs pending

Divergence of spectral decompositions of Hill operators with two exponential term potentials

Boris Mityagin, Plamen Djakov

arxiv:1210.3907 v1 · 2012-10-15 · math.SP · math-ph · math.CA · math.FA · 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{6WZESP6OIF6W7WFKHYYZ6JSAVH}

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	2026-05-18T03:43:16.778268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5b2493fce417d6fd8aa3e319f2640a9c5050fcc4c523b8bfcdd422b609066c0

Aliases

arxiv: 1210.3907 · arxiv_version: 1210.3907v1 · doi: 10.48550/arxiv.1210.3907 · pith_short_12: 6WZESP6OIF6W · pith_short_16: 6WZESP6OIF6W7WFK · pith_short_8: 6WZESP6O

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/6WZESP6OIF6W7WFKHYYZ6JSAVH \
  | 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: f5b2493fce417d6fd8aa3e319f2640a9c5050fcc4c523b8bfcdd422b609066c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f54adf74b6b87f54fc9ce8d09184b941a4c81fc20705db6c4a456b546026479",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-10-15T06:06:50Z",
    "title_canon_sha256": "cab2c64d24a406f869632132b22e0f0bfd556a73c8a66fe3b8ec95123dc487cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3907",
    "kind": "arxiv",
    "version": 1
  }
}