Pith Number

pith:5CFWZ2US

pith:2016:5CFWZ2USLRRCAVWL7RNGZPIZT2

not attested not anchored not stored refs pending

Optimal kernel estimates for a Schr\"odinger type operator

Anna Canale, Cristian Tacelli

arxiv:1604.03960 v1 · 2016-04-13 · 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{5CFWZ2USLRRCAVWL7RNGZPIZT2}

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	2026-05-18T01:17:07.125507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e88b6cea925c622056cbfc5a6cbd199eaad481ed03ccf2f6e64300c1c4d1bb27

Aliases

arxiv: 1604.03960 · arxiv_version: 1604.03960v1 · doi: 10.48550/arxiv.1604.03960 · pith_short_12: 5CFWZ2USLRRC · pith_short_16: 5CFWZ2USLRRCAVWL · pith_short_8: 5CFWZ2US

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/5CFWZ2USLRRCAVWL7RNGZPIZT2 \
  | 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: e88b6cea925c622056cbfc5a6cbd199eaad481ed03ccf2f6e64300c1c4d1bb27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a711d4ed127dd1f2cd389dd737e66aac458422fd867c2ecba3f2e856a8e09358",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-13T20:12:13Z",
    "title_canon_sha256": "ca54bfdac7e079acbc0ff6b0fd1e07b4703fdd8eb6f546fb7ac5c7bc476467aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03960",
    "kind": "arxiv",
    "version": 1
  }
}