Pith Number

pith:PFXCL2SL

pith:2024:PFXCL2SLUCRYR5CDLDVE6CPIRT

not attested not anchored not stored refs pending

Asymptotic expansion of the weighted power variation with second order differences of a stochastic differential equation driven by fBm

Hayate Yamagishi

arxiv:2407.03039 v1 · 2024-07-03 · 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{PFXCL2SLUCRYR5CDLDVE6CPIRT}

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

Federated Nested Learning: Collaborative Training of Self-Referential Memories for Test-Time Adaptation

Receipt and verification

First computed	2026-07-05T08:39:45.470612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

796e25ea4ba0a388f44358ea4f09e88cf843bb55e8cbff93aebd97e005193b09

Aliases

arxiv: 2407.03039 · arxiv_version: 2407.03039v1 · doi: 10.48550/arxiv.2407.03039 · pith_short_12: PFXCL2SLUCRY · pith_short_16: PFXCL2SLUCRYR5CD · pith_short_8: PFXCL2SL

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/PFXCL2SLUCRYR5CDLDVE6CPIRT \
  | 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: 796e25ea4ba0a388f44358ea4f09e88cf843bb55e8cbff93aebd97e005193b09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1736e855550fc03808080d99ce352591718a20237e116528866d7eb68610108",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-07-03T12:04:08Z",
    "title_canon_sha256": "7b27a4a0d5ddd691b55cc3d0c2410903fe44a49beb97d9c5c20fa2beedd5d1ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.03039",
    "kind": "arxiv",
    "version": 1
  }
}