Pith Number

pith:4TU76B2S

pith:2013:4TU76B2SX7WUWG6EDHIH5QJSLK

not attested not anchored not stored refs pending

Characteristic functions of measures on geometric rough paths

Ilya Chevyrev, Terry Lyons

arxiv:1307.3580 v6 · 2013-07-12 · 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{4TU76B2SX7WUWG6EDHIH5QJSLK}

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

2 papers in Pith

Generative Path-Law Jump-Diffusion: Sequential MMD-Gradient Flows and Generalisation Bounds in Marcus-Signature RKHS

Anticipatory Reinforcement Learning: From Generative Path-Laws to Distributional Value Functions

Receipt and verification

First computed	2026-05-18T00:44:18.232457Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4e9ff0752bfed4b1bc419d07ec1325a816e40678d33d0bb7c2f87c592b4d4af

Aliases

arxiv: 1307.3580 · arxiv_version: 1307.3580v6 · doi: 10.48550/arxiv.1307.3580 · pith_short_12: 4TU76B2SX7WU · pith_short_16: 4TU76B2SX7WUWG6E · pith_short_8: 4TU76B2S

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/4TU76B2SX7WUWG6EDHIH5QJSLK \
  | 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: e4e9ff0752bfed4b1bc419d07ec1325a816e40678d33d0bb7c2f87c592b4d4af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d37c89674c73ca2eb749b56bdf6e94f17ab8fd3e25719faf2ecd5013f138f825",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-12T21:14:33Z",
    "title_canon_sha256": "413f707eb6daac1e6d38e5bc9b5a88ac7e2918908cfe40ede4cb826924856919"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3580",
    "kind": "arxiv",
    "version": 6
  }
}