Pith Number

pith:UGOAIHIS

pith:2010:UGOAIHISMACSKZ5T6ZALUF7NF5

not attested not anchored not stored refs pending

Regular singular Sturm-Liouville operators and their zeta-determinants

Boris Vertman, Matthias Lesch

arxiv:1005.0368 v3 · 2010-05-03 · 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{UGOAIHISMACSKZ5T6ZALUF7NF5}

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	2026-05-18T04:00:28.570424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a19c041d1260052567b3f640ba17ed2f497d28ff364551454047c52c0811259b

Aliases

arxiv: 1005.0368 · arxiv_version: 1005.0368v3 · doi: 10.48550/arxiv.1005.0368 · pith_short_12: UGOAIHISMACS · pith_short_16: UGOAIHISMACSKZ5T · pith_short_8: UGOAIHIS

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/UGOAIHISMACSKZ5T6ZALUF7NF5 \
  | 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: a19c041d1260052567b3f640ba17ed2f497d28ff364551454047c52c0811259b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6998387c5bcb04434c68b5ca2d57b17d58d726dabbb2fee70501a19328188862",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-05-03T18:31:27Z",
    "title_canon_sha256": "c353b65e70d83f5d457fec41b6322be0a3b45c9c6efb820ba541c69bccad1f39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0368",
    "kind": "arxiv",
    "version": 3
  }
}