Pith Number

pith:OO54DUUY

pith:2015:OO54DUUYR4TCEAPSBIBX4YEPHQ

not attested not anchored not stored refs pending

Note on the Signatures of Rough Paths in a Banach Space

Danyu Yang, Horatio Boedihardjo, Terry Lyons, Xi Geng

arxiv:1510.04172 v1 · 2015-10-06 · math.CA · 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{OO54DUUYR4TCEAPSBIBX4YEPHQ}

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	2026-05-18T01:30:09.024659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73bbc1d2988f262201f20a037e608f3c1dfe8687f843606e1850ff313f991f56

Aliases

arxiv: 1510.04172 · arxiv_version: 1510.04172v1 · doi: 10.48550/arxiv.1510.04172 · pith_short_12: OO54DUUYR4TC · pith_short_16: OO54DUUYR4TCEAPS · pith_short_8: OO54DUUY

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/OO54DUUYR4TCEAPSBIBX4YEPHQ \
  | 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: 73bbc1d2988f262201f20a037e608f3c1dfe8687f843606e1850ff313f991f56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbe2d1520ed800f69f4ce568eb7772748312c5075f13ce3a0167b925a7a3eda4",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-10-06T19:58:59Z",
    "title_canon_sha256": "f938466df7419f7636052f8c75f19767ba04e35cf635bdea601e890972ce2b17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04172",
    "kind": "arxiv",
    "version": 1
  }
}