Pith Number

pith:K4NIXSNU

pith:2013:K4NIXSNUIELEDH7UTIY7NGLPQC

not attested not anchored not stored refs pending

The Jain-Monrad criterion for rough paths and applications to random Fourier series and non-Markovian H\"ormander theory

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

arxiv:1307.3460 v3 · 2013-07-12 · 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{K4NIXSNUIELEDH7UTIY7NGLPQC}

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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	2026-05-18T01:21:03.084141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

571a8bc9b44116419ff49a31f6996f8089834e89c2458841f05b11ec79370a9a

Aliases

arxiv: 1307.3460 · arxiv_version: 1307.3460v3 · doi: 10.48550/arxiv.1307.3460 · pith_short_12: K4NIXSNUIELE · pith_short_16: K4NIXSNUIELEDH7U · pith_short_8: K4NIXSNU

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/K4NIXSNUIELEDH7UTIY7NGLPQC \
  | 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: 571a8bc9b44116419ff49a31f6996f8089834e89c2458841f05b11ec79370a9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "730bfa001ee9e7cd0226e85729e918d3cfcc9abd1bda348fb57cf1ec97b2ee48",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-12T13:56:34Z",
    "title_canon_sha256": "a532a13345704242679ec23022df03de3e69d5969e3cd818eec46811c4825d03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3460",
    "kind": "arxiv",
    "version": 3
  }
}