Pith Number

pith:NNZLAFMU

pith:2015:NNZLAFMUNE4CRKO6TDO2HL32GY

not attested not anchored not stored refs pending

On some spectral properties of the weighted $\overline\partial$-Neumann problem

Franz Berger, Friedrich Haslinger

arxiv:1509.08741 v2 · 2015-09-29 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NNZLAFMUNE4CRKO6TDO2HL32GY}

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	2026-05-17T23:40:36.952575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b72b01594693828a9de98dda3af7a361c853e4d2b30e806a97ce1d8f2701593

Aliases

arxiv: 1509.08741 · arxiv_version: 1509.08741v2 · doi: 10.48550/arxiv.1509.08741 · pith_short_12: NNZLAFMUNE4C · pith_short_16: NNZLAFMUNE4CRKO6 · pith_short_8: NNZLAFMU

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/NNZLAFMUNE4CRKO6TDO2HL32GY \
  | 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: 6b72b01594693828a9de98dda3af7a361c853e4d2b30e806a97ce1d8f2701593

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a8110fa887203e8a50bcdcf63e1b269af60384800ce80b97e8330cd0a85c150",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-09-29T13:29:50Z",
    "title_canon_sha256": "e22e84ffd7ef3c9a34896f4a0f871281cae0b1e018fe0c8b288371de560e0797"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08741",
    "kind": "arxiv",
    "version": 2
  }
}