Pith Number

pith:R7UZAVJZ

pith:2016:R7UZAVJZV6WROMIJE53ZTWTGME

not attested not anchored not stored refs pending

Random dynamical systems, rough paths and rough flows

Ismael Bailleul, Michael Scheutzow, Sebastian Riedel

arxiv:1612.01955 v1 · 2016-12-06 · 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{R7UZAVJZV6WROMIJE53ZTWTGME}

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	2026-05-18T00:55:40.115599Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fe9905539afad173109277799da666111a6db645c464cad8259e33b2de03a27

Aliases

arxiv: 1612.01955 · arxiv_version: 1612.01955v1 · doi: 10.48550/arxiv.1612.01955 · pith_short_12: R7UZAVJZV6WR · pith_short_16: R7UZAVJZV6WROMIJ · pith_short_8: R7UZAVJZ

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/R7UZAVJZV6WROMIJE53ZTWTGME \
  | 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: 8fe9905539afad173109277799da666111a6db645c464cad8259e33b2de03a27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daa7c2ec9de345d9acbbe3d3446b89df3a315bb85e6b6b94c08f8df6a1a33c09",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-06T19:23:23Z",
    "title_canon_sha256": "c22fc9d8d84d0f5ed7570d2f791d20b07adfc199969eb050c18f9998e17591a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01955",
    "kind": "arxiv",
    "version": 1
  }
}