Pith Number

pith:P3KM4HMZ

pith:2010:P3KM4HMZWXRE5BV4DUDJCKLREM

not attested not anchored not stored refs pending

Eigenfunction localization for the 2D periodic Schr\"odinger operator

Wei-Min Wang

arxiv:1009.0994 v1 · 2010-09-06 · 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{P3KM4HMZWXRE5BV4DUDJCKLREM}

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	2026-05-18T04:41:24.209476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ed4ce1d99b5e24e86bc1d06912971232ddde5233401241cf30356fff892b7c6

Aliases

arxiv: 1009.0994 · arxiv_version: 1009.0994v1 · doi: 10.48550/arxiv.1009.0994 · pith_short_12: P3KM4HMZWXRE · pith_short_16: P3KM4HMZWXRE5BV4 · pith_short_8: P3KM4HMZ

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/P3KM4HMZWXRE5BV4DUDJCKLREM \
  | 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: 7ed4ce1d99b5e24e86bc1d06912971232ddde5233401241cf30356fff892b7c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "285c32a3de7d36349b789a6ad60caf4477078166fe1430a80865f8b1bd552b68",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-06T09:11:11Z",
    "title_canon_sha256": "2dbdce11d50594bb120ce6a8281535c750a496bbf4fba0801980475d090ec22f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0994",
    "kind": "arxiv",
    "version": 1
  }
}