Pith Number

pith:VZCBBUXW

pith:2012:VZCBBUXWRLZ3Q4NNB3ODRWOGX7

not attested not anchored not stored refs pending

Analysis of Schr\"odinger operators with inverse square potentials {II}: FEM and approximation of eigenfunctions in the periodic case

Eugenie Hunsicker, Hengguang Li, Victor Nistor, Ville Uski

arxiv:1205.2127 v1 · 2012-05-10 · math-ph · math.AP · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZCBBUXWRLZ3Q4NNB3ODRWOGX7}

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	2026-05-18T03:55:56.982503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae4410d2f68af3b871ad0edc38d9c6bfdfe3e0a04edcd97ab376cd41b534f03a

Aliases

arxiv: 1205.2127 · arxiv_version: 1205.2127v1 · doi: 10.48550/arxiv.1205.2127 · pith_short_12: VZCBBUXWRLZ3 · pith_short_16: VZCBBUXWRLZ3Q4NN · pith_short_8: VZCBBUXW

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/VZCBBUXWRLZ3Q4NNB3ODRWOGX7 \
  | 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: ae4410d2f68af3b871ad0edc38d9c6bfdfe3e0a04edcd97ab376cd41b534f03a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79c8498537038b4c06ff12e77806f0c5cc084f8830c48316fab9db57c77a2575",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-05-10T00:11:48Z",
    "title_canon_sha256": "4321677e47ec53bcf3bf168fda157f9e6de50ad22d02f1a4ace4d6a2c97f9bed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2127",
    "kind": "arxiv",
    "version": 1
  }
}