Pith Number

pith:WD3SMGBF

pith:2010:WD3SMGBFSVI6RV7H2WR2AHEQ2L

not attested not anchored not stored refs pending

Weighted Mourre's commutator theory, application to Schr\"odinger operators with oscillating potential

Sylvain Golenia, Thierry Jecko (AGM)

arxiv:1012.0705 v3 · 2010-12-03 · math.SP · math.AP · 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{WD3SMGBFSVI6RV7H2WR2AHEQ2L}

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	2026-05-18T02:58:30.989330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f72618259551e8d7e7d5a3a01c90d2eb961880730d4aa39a7b2e7d330a43e6

Aliases

arxiv: 1012.0705 · arxiv_version: 1012.0705v3 · doi: 10.48550/arxiv.1012.0705 · pith_short_12: WD3SMGBFSVI6 · pith_short_16: WD3SMGBFSVI6RV7H · pith_short_8: WD3SMGBF

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/WD3SMGBFSVI6RV7H2WR2AHEQ2L \
  | 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: b0f72618259551e8d7e7d5a3a01c90d2eb961880730d4aa39a7b2e7d330a43e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82fe1f7779cb16b47ac8a8f1c0f8c5a6a52a8752291ceec721909f158a535342",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-12-03T11:25:27Z",
    "title_canon_sha256": "90e7c2c549839b1ed11532ca3742608a85985b8a1a02b757f1ea7b25dab46b25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0705",
    "kind": "arxiv",
    "version": 3
  }
}