Pith Number

pith:IJ5BVF5G

pith:2023:IJ5BVF5G3RIUFC54B6SPP4GRYT

not attested not anchored not stored refs pending

Flow techniques for non-geometric RDEs on manifolds

Hannes Kern, Terry Lyons

arxiv:2310.13556 v3 · 2023-10-20 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IJ5BVF5G3RIUFC54B6SPP4GRYT}

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

It\^o formula for planarly branched rough paths

Receipt and verification

First computed	2026-07-05T07:25:25.794229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

427a1a97a6dc51428bbc0fa4f7f0d1c4f692c7fa38f5986b8743a236d172545b

Aliases

arxiv: 2310.13556 · arxiv_version: 2310.13556v3 · doi: 10.48550/arxiv.2310.13556 · pith_short_12: IJ5BVF5G3RIU · pith_short_16: IJ5BVF5G3RIUFC54 · pith_short_8: IJ5BVF5G

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/IJ5BVF5G3RIUFC54B6SPP4GRYT \
  | 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: 427a1a97a6dc51428bbc0fa4f7f0d1c4f692c7fa38f5986b8743a236d172545b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d71e8a15038d7787a6718a6c1fe03ea99ba6aa20bbb3e4ce8552c3bd6c68853",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-10-20T14:57:57Z",
    "title_canon_sha256": "185c598649fa4e1688b58af966c13aeecd8a7d7b6465001d41256276c269506c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.13556",
    "kind": "arxiv",
    "version": 3
  }
}