Pith Number

pith:VLQ2OFZT

pith:2013:VLQ2OFZTRPNUWGVH4DNHTH5HPL

not attested not anchored not stored refs pending

A priori bounds and existence of non-real eigenvalues of indefinite Sturm-Liouville problems

Jiangang Qi, Shaozhu Chen

arxiv:1306.5517 v1 · 2013-06-24 · 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{VLQ2OFZTRPNUWGVH4DNHTH5HPL}

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	2026-05-18T03:20:07.761614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aae1a717338bdb4b1aa7e0da799fa77aebcca94aefc44410fe20ea5727d871ed

Aliases

arxiv: 1306.5517 · arxiv_version: 1306.5517v1 · doi: 10.48550/arxiv.1306.5517 · pith_short_12: VLQ2OFZTRPNU · pith_short_16: VLQ2OFZTRPNUWGVH · pith_short_8: VLQ2OFZT

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/VLQ2OFZTRPNUWGVH4DNHTH5HPL \
  | 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: aae1a717338bdb4b1aa7e0da799fa77aebcca94aefc44410fe20ea5727d871ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9ab8f987e520f43afdf6e3fefd9d454f8fddc1b93c1d2675867ae2e73c8faa6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-06-24T06:50:28Z",
    "title_canon_sha256": "1084d785aa77dca494ac1d39886344801a2297fc04e135d40063d34008f89da1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5517",
    "kind": "arxiv",
    "version": 1
  }
}