Pith Number

pith:M5U45KSQ

pith:2013:M5U45KSQ4FSPEEWGJLK4IAPDKU

not attested not anchored not stored refs pending

On the Basis Property of the Root Functions of Sturm-Liouville Operators with General Regular Boundary Conditions

Cemile Nur, O. A. Veliev

arxiv:1306.1505 v1 · 2013-06-06 · 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{M5U45KSQ4FSPEEWGJLK4IAPDKU}

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	2026-05-18T03:21:34.003573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6769ceaa50e164f212c64ad5c401e3550ed8e09aefc1192fc5f555a5e2529ae7

Aliases

arxiv: 1306.1505 · arxiv_version: 1306.1505v1 · doi: 10.48550/arxiv.1306.1505 · pith_short_12: M5U45KSQ4FSP · pith_short_16: M5U45KSQ4FSPEEWG · pith_short_8: M5U45KSQ

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/M5U45KSQ4FSPEEWGJLK4IAPDKU \
  | 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: 6769ceaa50e164f212c64ad5c401e3550ed8e09aefc1192fc5f555a5e2529ae7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "534de326e38eb376f3651fcb2ddd2e627f2d761c2a822107c9bc6fb34d9ae837",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-06-06T18:52:45Z",
    "title_canon_sha256": "844302a97a67b21498e3e9f5f9c99809cfdcaf85e64fd58e16590418a084c33a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1505",
    "kind": "arxiv",
    "version": 1
  }
}