Pith Number

pith:VC7D66TM

pith:2026:VC7D66TMBCYRYJMPGYMXX2JS5S

not attested not anchored not stored refs pending

Learning Manifold and It\^o Dynamics with Branched Neural Rough Differential Equations

Andi Han, Dai Shi, Junbin Gao, Lequan Lin, Luke Thompson

arxiv:2606.05272 v1 · 2026-06-03 · cs.LG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VC7D66TMBCYRYJMPGYMXX2JS5S}

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	2026-06-05T00:13:51.292845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8be3f7a6c08b11c258f36197be932ec95f64dfc7fe8750db9cb07d38b2aa83e

Aliases

arxiv: 2606.05272 · arxiv_version: 2606.05272v1 · doi: 10.48550/arxiv.2606.05272 · pith_short_12: VC7D66TMBCYR · pith_short_16: VC7D66TMBCYRYJMP · pith_short_8: VC7D66TM

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/VC7D66TMBCYRYJMPGYMXX2JS5S \
  | 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: a8be3f7a6c08b11c258f36197be932ec95f64dfc7fe8750db9cb07d38b2aa83e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8949d63424e3beb18cff51a079e666f7b917e8c4b3cc7d515af61bcdd3466fba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-03T17:12:52Z",
    "title_canon_sha256": "3afa54d5fd66795afd2945f58072267855b243a3267f4a2c0cde03e4d8676842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05272",
    "kind": "arxiv",
    "version": 1
  }
}