Pith Number

pith:BXXHQO5C

pith:2013:BXXHQO5CM6Y5WE7ZIAO4OLEUIW

not attested not anchored not stored refs pending

Dimension-free Euler estimates of rough differential equations

Danyu Yang, Lajos Gergely Gyurk\'o, Terry Lyons, Youness Boutaib

arxiv:1307.4708 v1 · 2013-07-17 · 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{BXXHQO5CM6Y5WE7ZIAO4OLEUIW}

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	2026-05-18T03:18:17.338312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dee783ba267b1db13f9401dc72c9445baf60ad37ad87e9535cdcddc78689f59

Aliases

arxiv: 1307.4708 · arxiv_version: 1307.4708v1 · doi: 10.48550/arxiv.1307.4708 · pith_short_12: BXXHQO5CM6Y5 · pith_short_16: BXXHQO5CM6Y5WE7Z · pith_short_8: BXXHQO5C

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/BXXHQO5CM6Y5WE7ZIAO4OLEUIW \
  | 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: 0dee783ba267b1db13f9401dc72c9445baf60ad37ad87e9535cdcddc78689f59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b73d2da2b7f1073c454396c6c3465b90ede958b2e371836dcdc08ad09523e19e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-07-17T17:42:56Z",
    "title_canon_sha256": "48c5fba16c3089aa773c8f06e31c406ae9e1855a893c477ac8136155eb360abe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4708",
    "kind": "arxiv",
    "version": 1
  }
}