Pith Number

pith:UYTA6BV4

pith:2010:UYTA6BV46FY4YHRRQBFXTR3DA6

not attested not anchored not stored refs pending

A Borg-Levinson theorem for higher order elliptic operators

Katsiaryna Krupchyk, Lassi P\"aiv\"arinta

arxiv:1011.1995 v1 · 2010-11-09 · 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{UYTA6BV46FY4YHRRQBFXTR3DA6}

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	2026-05-18T04:36:42.809836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6260f06bcf171cc1e31804b79c76307ade782060488e16f2392037538f99f56

Aliases

arxiv: 1011.1995 · arxiv_version: 1011.1995v1 · doi: 10.48550/arxiv.1011.1995 · pith_short_12: UYTA6BV46FY4 · pith_short_16: UYTA6BV46FY4YHRR · pith_short_8: UYTA6BV4

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/UYTA6BV46FY4YHRRQBFXTR3DA6 \
  | 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: a6260f06bcf171cc1e31804b79c76307ade782060488e16f2392037538f99f56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a961710b6846f864e20c9f473a4fdc2a6c0b8e948fff86160859e0446866961d",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-11-09T07:50:27Z",
    "title_canon_sha256": "80666ac9c3d19ffc025f89f8b10f3735578a79d70e325ebc596d3675c4014158"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1995",
    "kind": "arxiv",
    "version": 1
  }
}