Pith Number

pith:QIISPRF3

pith:2013:QIISPRF3DGM4EOTIWEJJJCBB5X

not attested not anchored not stored refs pending

$\Phi$-Entropy Inequality and Invariant Probability Measure for SDEs with Jump

Feng-Yu Wang

arxiv:1309.0942 v2 · 2013-09-04 · 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{QIISPRF3DGM4EOTIWEJJJCBB5X}

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	2026-05-18T03:14:08.130161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

821127c4bb1999c23a68b112948821edc126c650c96d9b389d0e4d095a48d952

Aliases

arxiv: 1309.0942 · arxiv_version: 1309.0942v2 · doi: 10.48550/arxiv.1309.0942 · pith_short_12: QIISPRF3DGM4 · pith_short_16: QIISPRF3DGM4EOTI · pith_short_8: QIISPRF3

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/QIISPRF3DGM4EOTIWEJJJCBB5X \
  | 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: 821127c4bb1999c23a68b112948821edc126c650c96d9b389d0e4d095a48d952

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd3a36c320eedb7b1fe4a89022e84ee4ab92b2f4c4ea76ccda57abd39f359ffe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-04T08:27:50Z",
    "title_canon_sha256": "458607434329344ac5eb7fbe637f003e26b85be81553cb9be997fcabab543f53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0942",
    "kind": "arxiv",
    "version": 2
  }
}