Pith Number

pith:P4MPWFPN

pith:2014:P4MPWFPN6RRWH7ONEH23DEQ6EO

not attested not anchored not stored refs pending

Pathwise It\^o Calculus for Rough Paths and Rough PDEs with Path Dependent Coefficients

Christian Keller, Jianfeng Zhang

arxiv:1412.7464 v1 · 2014-12-23 · 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{P4MPWFPN6RRWH7ONEH23DEQ6EO}

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	2026-05-18T02:30:38.863449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f18fb15edf46363fdcd21f5b1921e23944ea6a8417b87379e896f75019fae16

Aliases

arxiv: 1412.7464 · arxiv_version: 1412.7464v1 · doi: 10.48550/arxiv.1412.7464 · pith_short_12: P4MPWFPN6RRW · pith_short_16: P4MPWFPN6RRWH7ON · pith_short_8: P4MPWFPN

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/P4MPWFPN6RRWH7ONEH23DEQ6EO \
  | 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: 7f18fb15edf46363fdcd21f5b1921e23944ea6a8417b87379e896f75019fae16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffef9d049275f21c71326b9d1b8cfe1e46421a7f70c8548285924181779477dc",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-23T18:42:24Z",
    "title_canon_sha256": "e0ae2fad54d6c25c416912b7896b0f6fb87b65f713ab1824b7abc363d8bae74c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7464",
    "kind": "arxiv",
    "version": 1
  }
}