Pith Number

pith:CYZD5CIS

pith:2012:CYZD5CISFGICWIREIUXP3YSRYQ

not attested not anchored not stored refs pending

Boundary Data Maps and Krein's Resolvent Formula for Sturm-Liouville Operators on a Finite Interval

Fritz Gesztesy, Maxim Zinchenko, Roger Nichols, Stephen Clark

arxiv:1204.3314 v1 · 2012-04-15 · math.SP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYZD5CISFGICWIREIUXP3YSRYQ}

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	2026-05-18T03:57:51.858683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16323e891229902b2224452efde251c4217f04a4ffcecd6a7293b9ed2f6c800b

Aliases

arxiv: 1204.3314 · arxiv_version: 1204.3314v1 · doi: 10.48550/arxiv.1204.3314 · pith_short_12: CYZD5CISFGIC · pith_short_16: CYZD5CISFGICWIRE · pith_short_8: CYZD5CIS

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/CYZD5CISFGICWIREIUXP3YSRYQ \
  | 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: 16323e891229902b2224452efde251c4217f04a4ffcecd6a7293b9ed2f6c800b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ebac951c3e73c26831b90b9049baaa6f8d1f69344337f16e815fd09f48b1983",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-04-15T19:24:11Z",
    "title_canon_sha256": "db93bb7aeda67665ee61308fcb6fd1b5d8f0b22900f8deec4f24958af8b9f570"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3314",
    "kind": "arxiv",
    "version": 1
  }
}