Pith Number

pith:7CQWJ4BH

pith:2010:7CQWJ4BHZVZ3AC3CRX2HU4K5TA

not attested not anchored not stored refs pending

Ito diffusions, modified capacity and harmonic measure. Applications to Schrodinger operators

S. Denisov, S. Kupin

arxiv:1012.3785 v1 · 2010-12-17 · math.AP · math-ph · math.CA · math.MP · 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{7CQWJ4BHZVZ3AC3CRX2HU4K5TA}

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	2026-05-18T04:33:03.875951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8a164f027cd73b00b628df47a715d982bb47ae85d8c7f115425c2d0c10091f4

Aliases

arxiv: 1012.3785 · arxiv_version: 1012.3785v1 · doi: 10.48550/arxiv.1012.3785 · pith_short_12: 7CQWJ4BHZVZ3 · pith_short_16: 7CQWJ4BHZVZ3AC3C · pith_short_8: 7CQWJ4BH

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/7CQWJ4BHZVZ3AC3CRX2HU4K5TA \
  | 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: f8a164f027cd73b00b628df47a715d982bb47ae85d8c7f115425c2d0c10091f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6177cf4d9d39ced7d727fe5cb187baf05f8da13b365281e8ecff8c8472e5c8a0",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-12-17T00:15:07Z",
    "title_canon_sha256": "6b46bd22c6945ff96a71cf75840035623bd16a849bb21424fe8c96f8b748ecf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3785",
    "kind": "arxiv",
    "version": 1
  }
}