Pith Number

pith:X6W6DLOF

pith:2012:X6W6DLOFIODYTZSWWENMWQE7JK

not attested not anchored not stored refs pending

Multilinear pseudodifferential operators beyond Calder\'on-Zygmund theory

David J. Rule, Nicholas Michalowski, Wolfgang Staubach

arxiv:1206.4712 v1 · 2012-06-20 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X6W6DLOFIODYTZSWWENMWQE7JK}

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	2026-05-18T03:53:03.914418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfade1adc5438789e656b11acb409f4aaaedc05d8555ebc088a15d582bfa9ebd

Aliases

arxiv: 1206.4712 · arxiv_version: 1206.4712v1 · doi: 10.48550/arxiv.1206.4712 · pith_short_12: X6W6DLOFIODY · pith_short_16: X6W6DLOFIODYTZSW · pith_short_8: X6W6DLOF

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/X6W6DLOFIODYTZSWWENMWQE7JK \
  | 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: bfade1adc5438789e656b11acb409f4aaaedc05d8555ebc088a15d582bfa9ebd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0a8015b1cbd6eee360e49ef27a36dabc1a518f36b273263dad7d6a223ed4f26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-06-20T20:37:43Z",
    "title_canon_sha256": "b1c3d35ce49790fed094f6e5d9df653481ebd36ddb8a61424f7186ce8c4c941f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4712",
    "kind": "arxiv",
    "version": 1
  }
}