Pith Number

pith:DRNF7N6K

pith:2012:DRNF7N6KFH24SNR5BF2G3TTJZX

not attested not anchored not stored refs pending

Flows driven by rough paths

Ismael Bailleul

arxiv:1203.0888 v7 · 2012-03-05 · 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{DRNF7N6KFH24SNR5BF2G3TTJZX}

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	2026-05-18T03:12:22.606714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c5a5fb7ca29f5c9363d09746dce69cde346f0eefbd3bb7dc68abeb33cb89593

Aliases

arxiv: 1203.0888 · arxiv_version: 1203.0888v7 · doi: 10.48550/arxiv.1203.0888 · pith_short_12: DRNF7N6KFH24 · pith_short_16: DRNF7N6KFH24SNR5 · pith_short_8: DRNF7N6K

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/DRNF7N6KFH24SNR5BF2G3TTJZX \
  | 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: 1c5a5fb7ca29f5c9363d09746dce69cde346f0eefbd3bb7dc68abeb33cb89593

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37e9f84d9ce2b839c91efa2d42f1ab50e94671c067b090b25e92206161ddbecc",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-05T12:39:18Z",
    "title_canon_sha256": "0daafdc9f22c353d0c7cc7a085125e4e25b8ee8dc7696c01828acf6d510e7b69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0888",
    "kind": "arxiv",
    "version": 7
  }
}