Pith Number

pith:HPMCBHRR

pith:2005:HPMCBHRRURWKUXS7PDR3AAPIRD

not attested not anchored not stored refs pending

Asymptotics of instability zones of the Hill operator with a two term potential

Boris Mityagin, Plamen Djakov

arxiv:math-ph/0509034 v1 · 2005-09-16 · math-ph · 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{HPMCBHRRURWKUXS7PDR3AAPIRD}

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	2026-05-18T01:05:30.088901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bd8209e31a46caa5e5f78e3b001e888d1ff3374c30e636522b35fbd07d99838

Aliases

arxiv: math-ph/0509034 · arxiv_version: math-ph/0509034v1 · doi: 10.48550/arxiv.math-ph/0509034 · pith_short_12: HPMCBHRRURWK · pith_short_16: HPMCBHRRURWKUXS7 · pith_short_8: HPMCBHRR

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/HPMCBHRRURWKUXS7PDR3AAPIRD \
  | 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: 3bd8209e31a46caa5e5f78e3b001e888d1ff3374c30e636522b35fbd07d99838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "364aa6f231b29ee987010e38a4f0219eff62c66d22d05600bc5c350db247f312",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-09-16T12:45:32Z",
    "title_canon_sha256": "e79b59cfd0d67c35f127a36291c2c2eee910dae36da6c4086de2a7f42641461f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0509034",
    "kind": "arxiv",
    "version": 1
  }
}