Pith Number

pith:P6APFP6W

pith:2011:P6APFP6WRXX4VIMH4VMCUMXCTI

not attested not anchored not stored refs pending

Sturm-Liouville operators on time scales

Gerald Teschl, Jonathan Eckhardt

arxiv:1105.5959 v2 · 2011-05-30 · math.SP · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P6APFP6WRXX4VIMH4VMCUMXCTI}

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	2026-05-18T03:41:01.472496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f80f2bfd68defcaa187e5582a32e29a3b5cd69c75a93772ba0a30edcbb4dbf9

Aliases

arxiv: 1105.5959 · arxiv_version: 1105.5959v2 · doi: 10.48550/arxiv.1105.5959 · pith_short_12: P6APFP6WRXX4 · pith_short_16: P6APFP6WRXX4VIMH · pith_short_8: P6APFP6W

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/P6APFP6WRXX4VIMH4VMCUMXCTI \
  | 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: 7f80f2bfd68defcaa187e5582a32e29a3b5cd69c75a93772ba0a30edcbb4dbf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b6135d507b8b96be24490157d21401e112dbc9354c9c6694f51ab87d846d2f9",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-05-30T12:31:18Z",
    "title_canon_sha256": "79b980b4aacfa2dbf5333ef7f4a95ddebde62288bb2265902007d7dd4a9d49a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5959",
    "kind": "arxiv",
    "version": 2
  }
}