Pith Number

pith:LI6KBBO7

pith:2019:LI6KBBO7FE2VH6XWL7PLOHM446

not attested not anchored not stored refs pending

Carleman estimates with sharp weights and boundary observability for wave operators with critically singular potentials

Alberto Enciso, Arick Shao, Bruno Vergara

arxiv:1902.00068 v2 · 2019-01-31 · 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{LI6KBBO7FE2VH6XWL7PLOHM446}

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	2026-07-05T00:51:01.682175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a3ca085df293553faf65fdeb71d9ce7af6e0d42aadbe6fd14638ce1f0ee3b40

Aliases

arxiv: 1902.00068 · arxiv_version: 1902.00068v2 · doi: 10.48550/arxiv.1902.00068 · pith_short_12: LI6KBBO7FE2V · pith_short_16: LI6KBBO7FE2VH6XW · pith_short_8: LI6KBBO7

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/LI6KBBO7FE2VH6XWL7PLOHM446 \
  | 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: 5a3ca085df293553faf65fdeb71d9ce7af6e0d42aadbe6fd14638ce1f0ee3b40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20ad4decc24cff28bf6de1fa5218f36aa03bd50cdb80a968979b253abd7151f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-31T20:57:51Z",
    "title_canon_sha256": "b83fb9449776de2997597f0229877061013669112a1dd05a2bcebcd1c2db8394"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.00068",
    "kind": "arxiv",
    "version": 2
  }
}