Pith Number

pith:5HDRAQQZ

pith:2010:5HDRAQQZIYFR4TU63RCCDLP5R7

not attested not anchored not stored refs pending

Perturbations of embedded eigenvalues for the planar bilaplacian

Bjorn Sandstede, Gianne Derks, Sara Maad Sasane

arxiv:1009.0409 v1 · 2010-09-02 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HDRAQQZIYFR4TU63RCCDLP5R7}

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	2026-05-18T04:41:26.746091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9c7104219460b1e4e9edc4421adfd8fc9f07c620f53b4e142adc4fd2e8001df

Aliases

arxiv: 1009.0409 · arxiv_version: 1009.0409v1 · doi: 10.48550/arxiv.1009.0409 · pith_short_12: 5HDRAQQZIYFR · pith_short_16: 5HDRAQQZIYFR4TU6 · pith_short_8: 5HDRAQQZ

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/5HDRAQQZIYFR4TU63RCCDLP5R7 \
  | 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: e9c7104219460b1e4e9edc4421adfd8fc9f07c620f53b4e142adc4fd2e8001df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4454d3394ae217715260152a436a4169af64ee65bcd6cbc97435a2a8f4228b31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-09-02T12:33:16Z",
    "title_canon_sha256": "9fa97cba36fdeb968242e99879c49dbe43a5b6dd4df53d8c95c1a78ebf8fa979"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0409",
    "kind": "arxiv",
    "version": 1
  }
}