Pith Number

pith:B5V4PQ4K

pith:2012:B5V4PQ4KFA3FRE3ART4FPWRYFX

not attested not anchored not stored refs pending

Spectral Analysis of Certain Schr\"odinger Operators

Erik Koelink, Mourad E. H. Ismail

arxiv:1205.0821 v2 · 2012-05-03 · 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{B5V4PQ4KFA3FRE3ART4FPWRYFX}

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	2026-05-18T02:54:12.992567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f6bc7c38a28365893608cf857da382ddf1c62d9eea47fd40d2a707ccd27830a

Aliases

arxiv: 1205.0821 · arxiv_version: 1205.0821v2 · doi: 10.48550/arxiv.1205.0821 · pith_short_12: B5V4PQ4KFA3F · pith_short_16: B5V4PQ4KFA3FRE3A · pith_short_8: B5V4PQ4K

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/B5V4PQ4KFA3FRE3ART4FPWRYFX \
  | 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: 0f6bc7c38a28365893608cf857da382ddf1c62d9eea47fd40d2a707ccd27830a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2579d4705926c01163abc57a5deb539420c3c151d3536be886ec8c7f522a200",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-03T20:46:31Z",
    "title_canon_sha256": "b67afa1b233b2213fe8589df41910d4bc46c206947a6ed370a4aa341545917c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0821",
    "kind": "arxiv",
    "version": 2
  }
}