Pith Number

pith:FYJZNHYX

pith:2015:FYJZNHYXXK6X22EVLFM25FAZXF

not attested not anchored not stored refs pending

The Bismut-Elworthy-Li formula for mean-field stochastic differential equations

David R. Ba\~nos

arxiv:1510.06961 v1 · 2015-10-23 · 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{FYJZNHYXXK6X22EVLFM25FAZXF}

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	2026-05-18T01:29:22.553216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e13969f17babd7d68955959ae9419b95db9ccfa333449e7c3eedc2e05091e04

Aliases

arxiv: 1510.06961 · arxiv_version: 1510.06961v1 · doi: 10.48550/arxiv.1510.06961 · pith_short_12: FYJZNHYXXK6X · pith_short_16: FYJZNHYXXK6X22EV · pith_short_8: FYJZNHYX

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/FYJZNHYXXK6X22EVLFM25FAZXF \
  | 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: 2e13969f17babd7d68955959ae9419b95db9ccfa333449e7c3eedc2e05091e04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7032a245795e12b932e070e628bdc194b7f47178439db92a15ceb30ded7de33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-23T15:01:39Z",
    "title_canon_sha256": "dc68aaddf6b353e9d31ea819dbd05522d545b24b8634d27af39a9da6669ef991"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06961",
    "kind": "arxiv",
    "version": 1
  }
}