Pith Number

pith:NGCCLATV

pith:2010:NGCCLATVTIDZZQZ25VADV7BY4Y

not attested not anchored not stored refs pending

On the spectral estimates for Schr\"odinger type operators. The case of small local dimension

Grigori Rozenblum, Michael Solomyak

arxiv:1005.2690 v3 · 2010-05-15 · 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{NGCCLATVTIDZZQZ25VADV7BY4Y}

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	2026-05-18T04:40:46.278431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69842582759a079cc33aed403afc38e6152fa45881b590dabd54d6bc3a0805b6

Aliases

arxiv: 1005.2690 · arxiv_version: 1005.2690v3 · doi: 10.48550/arxiv.1005.2690 · pith_short_12: NGCCLATVTIDZ · pith_short_16: NGCCLATVTIDZZQZ2 · pith_short_8: NGCCLATV

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/NGCCLATVTIDZZQZ25VADV7BY4Y \
  | 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: 69842582759a079cc33aed403afc38e6152fa45881b590dabd54d6bc3a0805b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4291a0eb2a85fcafa44b0dd0a43abe4997be307dca0479f0cb42210b6a62fe39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-05-15T17:26:49Z",
    "title_canon_sha256": "886a7434ad900d7d147b2feaa4a7ec678a5301412202db9e6890a2b6bacf34be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2690",
    "kind": "arxiv",
    "version": 3
  }
}