Pith Number

pith:ECKI25EM

pith:2014:ECKI25EMHL4S2NCM5FPIGEMQU5

not attested not anchored not stored refs pending

The inverse problem for rough controlled differential equations

I. Bailleul, J. Diehl

arxiv:1407.2768 v3 · 2014-07-10 · 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{ECKI25EMHL4S2NCM5FPIGEMQU5}

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	2026-05-18T02:37:38.141951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20948d748c3af92d344ce95e831190a770a91290a8aebc6b38792f490da8b4b0

Aliases

arxiv: 1407.2768 · arxiv_version: 1407.2768v3 · doi: 10.48550/arxiv.1407.2768 · pith_short_12: ECKI25EMHL4S · pith_short_16: ECKI25EMHL4S2NCM · pith_short_8: ECKI25EM

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/ECKI25EMHL4S2NCM5FPIGEMQU5 \
  | 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: 20948d748c3af92d344ce95e831190a770a91290a8aebc6b38792f490da8b4b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac4f941cc0c0bff650e7275f4827f6d4dd13f2cb50994996d00bda66aa8885ad",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-10T12:26:53Z",
    "title_canon_sha256": "f32af77d394154a263c6ede88f14aa235241e2830787f64c5dec19e248874c3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2768",
    "kind": "arxiv",
    "version": 3
  }
}