Pith Number

pith:USSXXUGE

pith:2012:USSXXUGEBPOFZOELBYICH4VIDD

not attested not anchored not stored refs pending

Partial spectral multipliers and partial Riesz transforms for degenerate operators

A. F. M. ter Elst, E. M. Ouhabaz

arxiv:1202.2136 v1 · 2012-02-09 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{USSXXUGEBPOFZOELBYICH4VIDD}

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	2026-05-18T04:02:38.058243Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4a57bd0c40bdc5cb88b0e1023f2a818ffc6d28ac4396976ee524492b511e379

Aliases

arxiv: 1202.2136 · arxiv_version: 1202.2136v1 · doi: 10.48550/arxiv.1202.2136 · pith_short_12: USSXXUGEBPOF · pith_short_16: USSXXUGEBPOFZOEL · pith_short_8: USSXXUGE

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/USSXXUGEBPOFZOELBYICH4VIDD \
  | 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: a4a57bd0c40bdc5cb88b0e1023f2a818ffc6d28ac4396976ee524492b511e379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83378ab3ab7c03a919616bab3c0db37cc1209915070d82ac648c8ebd368d2aa6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-09T21:39:44Z",
    "title_canon_sha256": "fdb41cc1c7cab58f9ba96c4648e065b28967a0f3bfa43f37a714a3833a7c646c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2136",
    "kind": "arxiv",
    "version": 1
  }
}