Pith Number

pith:F4GGQUPF

pith:2013:F4GGQUPFMLUZSCJQITZIRCXK4C

not attested not anchored not stored refs pending

Malliavin regularity of solutions to mixed stochastic differential equations

Georgiy Shevchenko, Taras Shalaiko

arxiv:1305.3462 v2 · 2013-05-15 · 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{F4GGQUPFMLUZSCJQITZIRCXK4C}

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	2026-05-18T03:12:32.827052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f0c6851e562e999093044f2888aeae09ccb38e21dafdba291bf038fa6f5732d

Aliases

arxiv: 1305.3462 · arxiv_version: 1305.3462v2 · doi: 10.48550/arxiv.1305.3462 · pith_short_12: F4GGQUPFMLUZ · pith_short_16: F4GGQUPFMLUZSCJQ · pith_short_8: F4GGQUPF

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/F4GGQUPFMLUZSCJQITZIRCXK4C \
  | 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: 2f0c6851e562e999093044f2888aeae09ccb38e21dafdba291bf038fa6f5732d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fff33ef4f30090c5767556f22427cb695d7a455e1786158fa483edb8abb5271",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-15T13:30:37Z",
    "title_canon_sha256": "087b8723202d1e8a017dc9d0b5884a32984d433934a6ae5372aa5e3e50f34376"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3462",
    "kind": "arxiv",
    "version": 2
  }
}