Pith Number

pith:Y4CQITFE

pith:2011:Y4CQITFEVGZNLJAXNJC5NLAYIX

not attested not anchored not stored refs pending

Sturm-Liouville operators with measure-valued coefficients

Gerald Teschl, Jonathan Eckhardt

arxiv:1105.3755 v2 · 2011-05-18 · 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{Y4CQITFEVGZNLJAXNJC5NLAYIX}

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	2026-05-18T03:16:06.637646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c705044ca4a9b2d5a4176a45d6ac1845c7fd8623ca37d726e79e54a0e6b95fbf

Aliases

arxiv: 1105.3755 · arxiv_version: 1105.3755v2 · doi: 10.48550/arxiv.1105.3755 · pith_short_12: Y4CQITFEVGZN · pith_short_16: Y4CQITFEVGZNLJAX · pith_short_8: Y4CQITFE

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/Y4CQITFEVGZNLJAXNJC5NLAYIX \
  | 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: c705044ca4a9b2d5a4176a45d6ac1845c7fd8623ca37d726e79e54a0e6b95fbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7fd7cad64e529dab953766e39befbb7dbd787141a749396df5a5534f8809984",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2011-05-18T21:42:18Z",
    "title_canon_sha256": "bace9e799eb5425b124eee6131256d189d8985a57f0ea7a87fb818caf2d12f12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3755",
    "kind": "arxiv",
    "version": 2
  }
}