Pith Number

pith:GDPB7EVC

pith:2016:GDPB7EVC775ICYP6PN73WVZ4LM

not attested not anchored not stored refs pending

Spectral stability under removal of small capacity sets and applications to Aharonov-Bohm operators

Corentin Lena, Laura Abatangelo, Luc Hillairet, Veronica Felli

arxiv:1611.06750 v1 · 2016-11-21 · 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{GDPB7EVC775ICYP6PN73WVZ4LM}

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	2026-05-18T00:57:33.023443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30de1f92a2fffa8161fe7b7fbb573c5b1b8cf1f3cf6cd48f491d4e03ab92334a

Aliases

arxiv: 1611.06750 · arxiv_version: 1611.06750v1 · doi: 10.48550/arxiv.1611.06750 · pith_short_12: GDPB7EVC775I · pith_short_16: GDPB7EVC775ICYP6 · pith_short_8: GDPB7EVC

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/GDPB7EVC775ICYP6PN73WVZ4LM \
  | 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: 30de1f92a2fffa8161fe7b7fbb573c5b1b8cf1f3cf6cd48f491d4e03ab92334a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bac2a85de2c644dd981f538e77c46fb21e83e0c063770aef25addce1282ca17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-21T12:14:53Z",
    "title_canon_sha256": "46d03f654f2a87e1c8ed7758937371dd6b064ddc8e75c3066f8388802bb577ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06750",
    "kind": "arxiv",
    "version": 1
  }
}