Pith Number

pith:CDUVUQ2G

pith:2018:CDUVUQ2GVDHHUX7Z547X2AEEAO

not attested not anchored not stored refs pending

On traces and modified Fredholm determinants for half-line Schr\"odinger operators with purely discrete spectra

Fritz Gesztesy, Klaus Kirsten

arxiv:1804.06887 v2 · 2018-04-18 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CDUVUQ2GVDHHUX7Z547X2AEEAO}

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	2026-05-18T00:10:10.317312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10e95a4346a8ce7a5ff9ef3f7d008403aa3aa420bbfc8ebeb9326633d5937a88

Aliases

arxiv: 1804.06887 · arxiv_version: 1804.06887v2 · doi: 10.48550/arxiv.1804.06887 · pith_short_12: CDUVUQ2GVDHH · pith_short_16: CDUVUQ2GVDHHUX7Z · pith_short_8: CDUVUQ2G

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/CDUVUQ2GVDHHUX7Z547X2AEEAO \
  | 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: 10e95a4346a8ce7a5ff9ef3f7d008403aa3aa420bbfc8ebeb9326633d5937a88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1742c66550e1bbccb8838adf5c2b470530bc29bce0c5e5fb513d4d2ae130130",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-04-18T19:37:28Z",
    "title_canon_sha256": "08c18b607309892fc380b6f714e9759a339807b1bcf27f7e721ee94454448f47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.06887",
    "kind": "arxiv",
    "version": 2
  }
}