Pith Number

pith:BYW3YRZC

pith:2019:BYW3YRZCGVXATTPCRON2IDDWWG

not attested not anchored not stored refs pending

Randomly coupled differential equations with elliptic correlations

David Renfrew, L\'aszl\'o Erd\H{o}s, Torben Kr\"uger

arxiv:1908.05178 v4 · 2019-08-14 · 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{BYW3YRZCGVXATTPCRON2IDDWWG}

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	2026-07-05T05:06:48.512343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e2dbc4722356e09cde28b9ba40c76b1a39d09872f7cf51415b003f992ac5bb3

Aliases

arxiv: 1908.05178 · arxiv_version: 1908.05178v4 · doi: 10.48550/arxiv.1908.05178 · pith_short_12: BYW3YRZCGVXA · pith_short_16: BYW3YRZCGVXATTPC · pith_short_8: BYW3YRZC

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/BYW3YRZCGVXATTPCRON2IDDWWG \
  | 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: 0e2dbc4722356e09cde28b9ba40c76b1a39d09872f7cf51415b003f992ac5bb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ca59846656ddd58a8fcdce4ddafa5954aa7259d5dcef05b0031a72284a685be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-14T15:42:05Z",
    "title_canon_sha256": "a389c6dfc714bff3d2c2052734fed4062f062c38e3ddb032ef33c57956ae30fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05178",
    "kind": "arxiv",
    "version": 4
  }
}