Pith Number

pith:67L5QWE5

pith:2015:67L5QWE5VDCMQHLQI2SK3R7H5H

not attested not anchored not stored refs pending

Kernel estimates for Schr\"odinger type operators with unbounded diffusion and potential terms

Abdelaziz Rhandi, Anna Canale, Cristian Tacelli

arxiv:1501.00816 v2 · 2015-01-05 · 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{67L5QWE5VDCMQHLQI2SK3R7H5H}

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	2026-05-18T00:57:05.067881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7d7d8589da8c4c81d7046a4adc7e7e9f408c035ac663266065d97773aa25c47

Aliases

arxiv: 1501.00816 · arxiv_version: 1501.00816v2 · doi: 10.48550/arxiv.1501.00816 · pith_short_12: 67L5QWE5VDCM · pith_short_16: 67L5QWE5VDCMQHLQ · pith_short_8: 67L5QWE5

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/67L5QWE5VDCMQHLQI2SK3R7H5H \
  | 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: f7d7d8589da8c4c81d7046a4adc7e7e9f408c035ac663266065d97773aa25c47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ed8d94ab5fbce2334b323ede0e80158ccbaea67afa1b37e0c9b2b4f79a614b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-01-05T11:06:26Z",
    "title_canon_sha256": "27ac7257b711aa9b3ce799100d9301de1e806f7b1bc287026286fb1c8e9a7c77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00816",
    "kind": "arxiv",
    "version": 2
  }
}