Pith Number

pith:AUZWCJ2F

pith:2018:AUZWCJ2FH5P4JPCO6AW43ZLTEU

not attested not anchored not stored refs pending

Oversampling and undersampling in de Branges spaces arising from regular Schr\"odinger operators

Alfredo Uribe, Julio H. Toloza, Luis O. Silva

arxiv:1804.05888 v3 · 2018-04-16 · 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{AUZWCJ2FH5P4JPCO6AW43ZLTEU}

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	2026-05-18T00:01:29.805153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05336127453f5fc4bc4ef02dcde57325051d3440d8a9bce597e2c6508fbc8713

Aliases

arxiv: 1804.05888 · arxiv_version: 1804.05888v3 · doi: 10.48550/arxiv.1804.05888 · pith_short_12: AUZWCJ2FH5P4 · pith_short_16: AUZWCJ2FH5P4JPCO · pith_short_8: AUZWCJ2F

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/AUZWCJ2FH5P4JPCO6AW43ZLTEU \
  | 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: 05336127453f5fc4bc4ef02dcde57325051d3440d8a9bce597e2c6508fbc8713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec5713b70bd4d6e6ff6f8af7f2e41cabeda657cb675834b4fb309d84d2d47b1b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-04-16T18:45:25Z",
    "title_canon_sha256": "91c01cfd9c94fa4e76dbda63acc353df0a510b04520aa78d379ec80ae19a0943"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05888",
    "kind": "arxiv",
    "version": 3
  }
}