Pith Number

pith:TY72ENJD

pith:2011:TY72ENJDPBNRQ4ADHXADCMW3C7

not attested not anchored not stored refs pending

On Stratonovich and Skorohod stochastic calculus for Gaussian processes

Maria Jolis, Samy Tindel (IECN), Yaozhong Hu

arxiv:1101.3441 v1 · 2011-01-18 · 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{TY72ENJDPBNRQ4ADHXADCMW3C7}

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	2026-05-18T03:16:59.238669Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e3fa23523785b1870033dc03132db17e34247c881a6676b3c6f51cb9e1aec67

Aliases

arxiv: 1101.3441 · arxiv_version: 1101.3441v1 · doi: 10.48550/arxiv.1101.3441 · pith_short_12: TY72ENJDPBNR · pith_short_16: TY72ENJDPBNRQ4AD · pith_short_8: TY72ENJD

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/TY72ENJDPBNRQ4ADHXADCMW3C7 \
  | 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: 9e3fa23523785b1870033dc03132db17e34247c881a6676b3c6f51cb9e1aec67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de88854dcd0338e513697141e1d28383a9636fe68f4396c03f91a0d1d933e49c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-18T12:39:12Z",
    "title_canon_sha256": "ade3b3b907528159eca4fd1b5dbd3c0f3938db941a80da51596e872d5a6f9b9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3441",
    "kind": "arxiv",
    "version": 1
  }
}