Pith Number

pith:SEV6SZH4

pith:2015:SEV6SZH4CVO4SKGVK3D2NXNPIK

not attested not anchored not stored refs pending

Asymptotics of the Solutions of the Sturm--Liouville Equation with Singular Coefficients

A.A. Shkalikov, V.E. Vladykina

arxiv:1511.06934 v4 · 2015-11-21 · 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{SEV6SZH4CVO4SKGVK3D2NXNPIK}

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	2026-05-18T00:44:09.899555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

912be964fc155dc928d556c7a6ddaf4295761eb13eb032bb815036362fda4a9e

Aliases

arxiv: 1511.06934 · arxiv_version: 1511.06934v4 · doi: 10.48550/arxiv.1511.06934 · pith_short_12: SEV6SZH4CVO4 · pith_short_16: SEV6SZH4CVO4SKGV · pith_short_8: SEV6SZH4

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/SEV6SZH4CVO4SKGVK3D2NXNPIK \
  | 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: 912be964fc155dc928d556c7a6ddaf4295761eb13eb032bb815036362fda4a9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4496f7cad57afb4c89308886852094a0d234fefe734584f418185b6132a2be04",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-11-21T23:12:43Z",
    "title_canon_sha256": "645b3f86a8e211b27a69387a9eabf920ed83467724ab3d4f193d5fbc23ec8ed8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06934",
    "kind": "arxiv",
    "version": 4
  }
}