Pith Number

pith:GUVPDTIT

pith:2018:GUVPDTITNGMY6E7HECMDGRSGH4

not attested not anchored not stored refs pending

Fredholm operators and essential S-spectrum in the quaternionic setting

B. Muraleetharan, K. Thirulogasanthar

arxiv:1805.01461 v2 · 2018-05-03 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GUVPDTITNGMY6E7HECMDGRSGH4}

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	2026-05-18T00:03:36.926621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

352af1cd1369998f13e720983346463f26cd500782c4da8a73cb9bc7ac606a7d

Aliases

arxiv: 1805.01461 · arxiv_version: 1805.01461v2 · doi: 10.48550/arxiv.1805.01461 · pith_short_12: GUVPDTITNGMY · pith_short_16: GUVPDTITNGMY6E7H · pith_short_8: GUVPDTIT

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/GUVPDTITNGMY6E7HECMDGRSGH4 \
  | 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: 352af1cd1369998f13e720983346463f26cd500782c4da8a73cb9bc7ac606a7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7594353a4cd53c28fe700211505b36f7bc16f3eab969d1ad022cee4ce096c06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-05-03T05:01:56Z",
    "title_canon_sha256": "dd86b7b23d082f7e844af8dc18389f923e3974c677135860d9f7a30498990a50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.01461",
    "kind": "arxiv",
    "version": 2
  }
}