Pith Number

pith:G4FG5BXB

pith:2012:G4FG5BXBD6WLX5RAZ4VXRXVJ53

not attested not anchored not stored refs pending

Spatial rough path lifts of stochastic convolutions

Archil Gulisashvili, Benjamin Gess, Peter K. Friz, Sebastian Riedel

arxiv:1211.0046 v2 · 2012-10-31 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G4FG5BXBD6WLX5RAZ4VXRXVJ53}

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	2026-05-18T03:08:16.038259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

370a6e86e11facbbf620cf2b78dea9eee04755a57d3b6c5575e97fa468a7a39e

Aliases

arxiv: 1211.0046 · arxiv_version: 1211.0046v2 · doi: 10.48550/arxiv.1211.0046 · pith_short_12: G4FG5BXBD6WL · pith_short_16: G4FG5BXBD6WLX5RA · pith_short_8: G4FG5BXB

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/G4FG5BXBD6WLX5RAZ4VXRXVJ53 \
  | 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: 370a6e86e11facbbf620cf2b78dea9eee04755a57d3b6c5575e97fa468a7a39e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "252473491122cbaa527f4e7c304f21d7dedc9ae92697e8bd8ba53aa0eaa4217e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-31T22:11:15Z",
    "title_canon_sha256": "5fe0caed98a1ba4069c0b6323907ff30fdd4295b7092be9dbd3f64ef94275fdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0046",
    "kind": "arxiv",
    "version": 2
  }
}