Pith Number

pith:5UGNJYNC

pith:2015:5UGNJYNCHKY5WUHD34QGS6LBZ5

not attested not anchored not stored refs pending

Sharp asymptotic estimates for eigenvalues of Aharonov-Bohm operators with varying poles

Laura Abatangelo, Veronica Felli

arxiv:1504.00252 v3 · 2015-04-01 · 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{5UGNJYNCHKY5WUHD34QGS6LBZ5}

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	2026-05-18T02:00:58.512559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed0cd4e1a23ab1db50e3df20697961cf6991bde11758271408a0cc2ad6375abd

Aliases

arxiv: 1504.00252 · arxiv_version: 1504.00252v3 · doi: 10.48550/arxiv.1504.00252 · pith_short_12: 5UGNJYNCHKY5 · pith_short_16: 5UGNJYNCHKY5WUHD · pith_short_8: 5UGNJYNC

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/5UGNJYNCHKY5WUHD34QGS6LBZ5 \
  | 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: ed0cd4e1a23ab1db50e3df20697961cf6991bde11758271408a0cc2ad6375abd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e05c5bef58c2f19c72577e84ad4fa6a17ef31ef4210af965021455a0059d719b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-01T14:53:41Z",
    "title_canon_sha256": "192d3ab33fe63bf397877870bd20c7c436de169b8661becae553526476ac9258"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00252",
    "kind": "arxiv",
    "version": 3
  }
}