Pith Number

pith:ZGPSVXGI

pith:2021:ZGPSVXGITYKOZUMISYXLEC7AO2

not attested not anchored not stored refs pending

Fr\'{e}chet derivatives of expected functionals of solutions to stochastic differential equations

Han Cheng Lie

arxiv:2106.09149 v1 · 2021-06-16 · math.PR · cs.NA · math.NA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGPSVXGITYKOZUMISYXLEC7AO2}

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.

Cited by

1 paper in Pith

Reinforcement Learning with Random Time Horizons

Receipt and verification

First computed	2026-07-05T02:50:12.852828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c99f2adcc89e14ecd188962eb20be0769d323d490907e112534ddcd7a6ca5edf

Aliases

arxiv: 2106.09149 · arxiv_version: 2106.09149v1 · doi: 10.48550/arxiv.2106.09149 · pith_short_12: ZGPSVXGITYKO · pith_short_16: ZGPSVXGITYKOZUMI · pith_short_8: ZGPSVXGI

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/ZGPSVXGITYKOZUMISYXLEC7AO2 \
  | 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: c99f2adcc89e14ecd188962eb20be0769d323d490907e112534ddcd7a6ca5edf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76680223d397be47c08348a8655b813c50f9fde67822b7987a5e2b8ee9061360",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-06-16T21:52:27Z",
    "title_canon_sha256": "eb47f604ab3123bffe5503787a81cf230de0e3c97f1c54e03136e8d43e3b075a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.09149",
    "kind": "arxiv",
    "version": 1
  }
}