pith. sign in
Pith Number

pith:EU2T64MO

pith:2012:EU2T64MONRVWYHNLAI56VVT37Z
not attested not anchored not stored refs pending

Averaging along irregular curves and regularisation of ODEs

M. Gubinelli, R. Catellier

arxiv:1205.1735 v4 · 2012-05-08 · math.PR · math.FA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{EU2T64MONRVWYHNLAI56VVT37Z}

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 2026-05-18T01:21:20.137018Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

25353f718e6c6b6c1dab023bead67bfe663c9ffc0f74e5b9aaeb91405baa212f

Aliases

arxiv: 1205.1735 · arxiv_version: 1205.1735v4 · doi: 10.48550/arxiv.1205.1735 · pith_short_12: EU2T64MONRVW · pith_short_16: EU2T64MONRVWYHNL · pith_short_8: EU2T64MO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/EU2T64MONRVWYHNLAI56VVT37Z \
  | 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: 25353f718e6c6b6c1dab023bead67bfe663c9ffc0f74e5b9aaeb91405baa212f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a00dc563cefb2bc60d68d8a402bf0b13c2f74482602ba3199eb37b62fe293fea",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-08T16:11:27Z",
    "title_canon_sha256": "967d46714f4c069734fcce484da67b23f6059ec861fe1b2b1fdc7f59c8093ee6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1735",
    "kind": "arxiv",
    "version": 4
  }
}