Pith Number

pith:XVJZQW3G

pith:2017:XVJZQW3GLBXKDCKNXLWWL4HFGM

not attested not anchored not stored refs pending

$L^p$-Analysis of the Hodge--Dirac operator associated with Witten Laplacians on complete Riemannian manifolds

Jan van Neerven, Rik Versendaal

arxiv:1702.05886 v1 · 2017-02-20 · math.FA · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVJZQW3GLBXKDCKNXLWWL4HFGM}

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	2026-05-18T00:50:24.990345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd53985b66586ea1894dbaed65f0e533322d1f8b60cd32c782a8a288209f99df

Aliases

arxiv: 1702.05886 · arxiv_version: 1702.05886v1 · doi: 10.48550/arxiv.1702.05886 · pith_short_12: XVJZQW3GLBXK · pith_short_16: XVJZQW3GLBXKDCKN · pith_short_8: XVJZQW3G

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/XVJZQW3GLBXKDCKNXLWWL4HFGM \
  | 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: bd53985b66586ea1894dbaed65f0e533322d1f8b60cd32c782a8a288209f99df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cfbd54a8cb701ca94a97e921a7bfb01c635368e04b87ed2ca0c623f53377fdb",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-02-20T07:57:38Z",
    "title_canon_sha256": "0ee27dd5a7d0e8ad92a72dea37bc889fd9eafca836ebb91958e40ac5e2f136f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05886",
    "kind": "arxiv",
    "version": 1
  }
}