Pith Number

pith:QI4LLIL2

pith:2013:QI4LLIL2D42LIJCULEXJFQLXW5

not attested not anchored not stored refs pending

Flows driven by Banach space-valued rough paths

Ismael Bailleul

arxiv:1309.6082 v1 · 2013-09-24 · 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{QI4LLIL2D42LIJCULEXJFQLXW5}

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	2026-05-18T03:12:24.033805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8238b5a17a1f34b42454592e92c177b7747de69bb5ac12545f2cce828cae2b03

Aliases

arxiv: 1309.6082 · arxiv_version: 1309.6082v1 · doi: 10.48550/arxiv.1309.6082 · pith_short_12: QI4LLIL2D42L · pith_short_16: QI4LLIL2D42LIJCU · pith_short_8: QI4LLIL2

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/QI4LLIL2D42LIJCULEXJFQLXW5 \
  | 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: 8238b5a17a1f34b42454592e92c177b7747de69bb5ac12545f2cce828cae2b03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d7ab79cb0b3b93a77c53fff4c3cdd37eb9d053a65de8e609e0bfe0c6b7ed1a1",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-24T08:45:05Z",
    "title_canon_sha256": "7e1f5690aebdce5982bbaea2c46d170e5d13e7ea483251c0587fd30738b517a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6082",
    "kind": "arxiv",
    "version": 1
  }
}