Pith Number

pith:BPGSWUUP

pith:2012:BPGSWUUPIFRVQEX7HYIQIRXBWZ

not attested not anchored not stored refs pending

On spectral estimates for the Schr\"odinger operators in global dimension 2

Grigori Rozenblum, Michael Solomyak

arxiv:1208.6372 v1 · 2012-08-31 · 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{BPGSWUUPIFRVQEX7HYIQIRXBWZ}

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	2026-05-18T03:46:33.506489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bcd2b528f41635812ff3e110446e1b64bedee08fa07a2595433f8d56e8ac2cc

Aliases

arxiv: 1208.6372 · arxiv_version: 1208.6372v1 · doi: 10.48550/arxiv.1208.6372 · pith_short_12: BPGSWUUPIFRV · pith_short_16: BPGSWUUPIFRVQEX7 · pith_short_8: BPGSWUUP

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/BPGSWUUPIFRVQEX7HYIQIRXBWZ \
  | 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: 0bcd2b528f41635812ff3e110446e1b64bedee08fa07a2595433f8d56e8ac2cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "306eb7fc744755233bfa71ba5c92a7277f1fa3f16167002ff3f2128e5a480b8f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2012-08-31T05:30:55Z",
    "title_canon_sha256": "e7b7adb43ba4fd2179188a389351b69e44846eebe7f6733232ef9b6b76e9fce0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.6372",
    "kind": "arxiv",
    "version": 1
  }
}