Pith Number

pith:TTVT2DSJ

pith:2026:TTVT2DSJBFQPFBD366QJCMWCCE

not attested not anchored not stored refs pending

Fourier-Laplace Transforms of the Brownian Signature via Riccati Equations on the Tensor Algebra

Dimitri Sotnikov, Eduardo Abi Jaber, Elie Attal

arxiv:2606.29622 v1 · 2026-06-28 · 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{TTVT2DSJBFQPFBD366QJCMWCCE}

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	2026-06-30T01:18:19.853973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ceb3d0e490960f2847bf7a09132c2113daf2da3eb3c7dc08ccd2da298bbdf18

Aliases

arxiv: 2606.29622 · arxiv_version: 2606.29622v1 · doi: 10.48550/arxiv.2606.29622 · pith_short_12: TTVT2DSJBFQP · pith_short_16: TTVT2DSJBFQPFBD3 · pith_short_8: TTVT2DSJ

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/TTVT2DSJBFQPFBD366QJCMWCCE \
  | 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: 9ceb3d0e490960f2847bf7a09132c2113daf2da3eb3c7dc08ccd2da298bbdf18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fb90b767a52e6f0290174bb37166b1ee898b39d5de07785ed6c5f4870641dd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-28T21:58:24Z",
    "title_canon_sha256": "0a4d65198f31743ec319315692803dd8a2cd93034e0b5bcea17c94ad21c0ceb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29622",
    "kind": "arxiv",
    "version": 1
  }
}