Pith Number

pith:X22XSXOJ

pith:2016:X22XSXOJOAOMAAUUC5GXVLGA6K

not attested not anchored not stored refs pending

Invariance for Rough Differential Equations

Laure Coutin, Nicolas Marie

arxiv:1601.03535 v2 · 2016-01-14 · 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{X22XSXOJOAOMAAUUC5GXVLGA6K}

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	2026-05-17T23:56:25.396886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

beb5795dc9701cc00294174d7aacc0f299cb974822a2f137b2abe5e74fe1cdd2

Aliases

arxiv: 1601.03535 · arxiv_version: 1601.03535v2 · doi: 10.48550/arxiv.1601.03535 · pith_short_12: X22XSXOJOAOM · pith_short_16: X22XSXOJOAOMAAUU · pith_short_8: X22XSXOJ

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/X22XSXOJOAOMAAUUC5GXVLGA6K \
  | 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: beb5795dc9701cc00294174d7aacc0f299cb974822a2f137b2abe5e74fe1cdd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e5a6ea29f4050abfa135e1003db5e34bea5d739b59826fd254a5dc4e4b59f30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-01-14T10:11:39Z",
    "title_canon_sha256": "4988f3978acfe0c44b554b3cef45a2ffc7fdcbf82842ceb75a4845d90b0bbf7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03535",
    "kind": "arxiv",
    "version": 2
  }
}