Pith Number

pith:URZV74RT

pith:2015:URZV74RTW347WJPGEE6PYPSO73

not attested not anchored not stored refs pending

Essential spectra of tensor product Hilbert complexes, and the $\overline\partial$-Neumann problem on product manifolds

Franz Berger

arxiv:1508.01749 v1 · 2015-07-16 · math.SP · math.AP · math.CV · 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{URZV74RTW347WJPGEE6PYPSO73}

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	2026-05-18T01:02:21.231755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4735ff233b6f9fb25e6213cfc3e4efecf10dae708c0c7c4a5cc5b32830f70b4

Aliases

arxiv: 1508.01749 · arxiv_version: 1508.01749v1 · doi: 10.48550/arxiv.1508.01749 · pith_short_12: URZV74RTW347 · pith_short_16: URZV74RTW347WJPG · pith_short_8: URZV74RT

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/URZV74RTW347WJPGEE6PYPSO73 \
  | 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: a4735ff233b6f9fb25e6213cfc3e4efecf10dae708c0c7c4a5cc5b32830f70b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32437ff178ef0181f9f0c7fa333a5f6cb8a238d00b7b7315a284ed18e26f0b9c",
    "cross_cats_sorted": [
      "math.AP",
      "math.CV",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-07-16T15:09:21Z",
    "title_canon_sha256": "91067492b6c62af7f57d0ce710434e291c396d39fd0396347da49995759bac40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.01749",
    "kind": "arxiv",
    "version": 1
  }
}