Pith Number

pith:SNR5RQ4T

pith:2015:SNR5RQ4TWTJ7SIXR63D6J4KIFM

not attested not anchored not stored refs pending

On a Cameron--Martin Type Quasi-Invariance Theorem and Applications to Subordinate Brownian Motion

Chang-song Deng, Ren\'e L. Schilling

arxiv:1502.06107 v1 · 2015-02-21 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SNR5RQ4TWTJ7SIXR63D6J4KIFM}

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	2026-05-18T02:26:38.037878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9363d8c393b4d3f922f1f6c7e4f1482b2670d36d56d124ca5d488afabb4afbdb

Aliases

arxiv: 1502.06107 · arxiv_version: 1502.06107v1 · doi: 10.48550/arxiv.1502.06107 · pith_short_12: SNR5RQ4TWTJ7 · pith_short_16: SNR5RQ4TWTJ7SIXR · pith_short_8: SNR5RQ4T

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/SNR5RQ4TWTJ7SIXR63D6J4KIFM \
  | 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: 9363d8c393b4d3f922f1f6c7e4f1482b2670d36d56d124ca5d488afabb4afbdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18676f1f1dbbabe6f7d3d6919a8b802e3af34572ed718d9da2deeda7f78fb1cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-21T15:12:50Z",
    "title_canon_sha256": "70a896f517d74d4f3edfbbf8f39b86595c2b9476bd9aa289a5d4d05d3490a2f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06107",
    "kind": "arxiv",
    "version": 1
  }
}