Pith Number

pith:CIT5UK4S

pith:2012:CIT5UK4SI3LLA7XZDOVAJV2KB6

not attested not anchored not stored refs pending

Asymptotic properties of eigenvalues and eigenfunctions of a Sturm-Liouville problem with discontinuous weight function

Erdo\u{g}an \c{S}en

arxiv:1212.4664 v2 · 2012-12-18 · math.CA · 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{CIT5UK4SI3LLA7XZDOVAJV2KB6}

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	2026-05-18T03:27:32.273785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1227da2b9246d6b07ef91baa04d74a0fa4b947a1594dac4053950c8b9a8cc23f

Aliases

arxiv: 1212.4664 · arxiv_version: 1212.4664v2 · doi: 10.48550/arxiv.1212.4664 · pith_short_12: CIT5UK4SI3LL · pith_short_16: CIT5UK4SI3LLA7XZ · pith_short_8: CIT5UK4S

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/CIT5UK4SI3LLA7XZDOVAJV2KB6 \
  | 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: 1227da2b9246d6b07ef91baa04d74a0fa4b947a1594dac4053950c8b9a8cc23f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9eec8188737b1701460a93b78c0cb08753483d418b923c97c6f71aa8581781e",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-12-18T11:11:58Z",
    "title_canon_sha256": "1dd721231417e8ab87f3339bfb06ba7558debf62f8daa932157711f0149729e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4664",
    "kind": "arxiv",
    "version": 2
  }
}