Pith Number

pith:J2XSRLJW

pith:2017:J2XSRLJWOCPAL5IK5N3PWBGH7U

not attested not anchored not stored refs pending

Sensitivity of rough differential equations: an approach through the Omega lemma

Antoine Lejay (TOSCA), Laure Coutin (IMT)

arxiv:1712.04705 v1 · 2017-12-13 · 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{J2XSRLJWOCPAL5IK5N3PWBGH7U}

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	2026-05-17T23:47:31.682983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eaf28ad36709e05f50aeb76fb04c7fd3f68b9820ddd41a95e14b4a2aa681343

Aliases

arxiv: 1712.04705 · arxiv_version: 1712.04705v1 · doi: 10.48550/arxiv.1712.04705 · pith_short_12: J2XSRLJWOCPA · pith_short_16: J2XSRLJWOCPAL5IK · pith_short_8: J2XSRLJW

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/J2XSRLJWOCPAL5IK5N3PWBGH7U \
  | 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: 4eaf28ad36709e05f50aeb76fb04c7fd3f68b9820ddd41a95e14b4a2aa681343

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a19f657025c0f04eefbf6a7608ac321ad749f4c49f3fba59873e0a61f763c15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-12-13T11:06:24Z",
    "title_canon_sha256": "61c5536237ebdc474f88763e10c44b0805333c76f10e7befec5a49501a1633a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04705",
    "kind": "arxiv",
    "version": 1
  }
}