Pith Number

pith:5UMJOHHE

pith:2011:5UMJOHHEG2OVZ4HIOT6WOG62SK

not attested not anchored not stored refs pending

Spectral stability estimates for elliptic operators subject to domain transformations with non-uniformly bounded gradients

Gerassimos Barbatis, Pier Domenico Lamberti

arxiv:1101.2545 v1 · 2011-01-13 · math.AP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5UMJOHHEG2OVZ4HIOT6WOG62SK}

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	2026-05-18T03:02:44.277445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed18971ce4369d5cf0e874fd671bda92a33463bda34ffd7e07b31a1ce8690469

Aliases

arxiv: 1101.2545 · arxiv_version: 1101.2545v1 · doi: 10.48550/arxiv.1101.2545 · pith_short_12: 5UMJOHHEG2OV · pith_short_16: 5UMJOHHEG2OVZ4HI · pith_short_8: 5UMJOHHE

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/5UMJOHHEG2OVZ4HIOT6WOG62SK \
  | 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: ed18971ce4369d5cf0e874fd671bda92a33463bda34ffd7e07b31a1ce8690469

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "867f6e3d24c3fbed93ce525efb75172b9014ecfddaaac27fd99982ee60bccd96",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-13T12:37:03Z",
    "title_canon_sha256": "e1ef57615cb00115b2ae6d1e4646bc147249cd5958c2dbc80413e371883e4fc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2545",
    "kind": "arxiv",
    "version": 1
  }
}