Pith Number

pith:5BBJ4P63

pith:2026:5BBJ4P63GSLCCUD5L4VVCSOADW

not attested not anchored not stored refs pending

Path-Space Mirror Descent for On-Policy Reinforcement Learning under the Generalized Schr\"odinger Bridge

Qingyuan Zhou, Shutong Ding, Yanwei Fu, Yuehu Gong, Yulin Chen, Zeyuan Wang

arxiv:2603.21621 v2 · 2026-03-23 · 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{5BBJ4P63GSLCCUD5L4VVCSOADW}

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	2026-05-29T01:05:07.744094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8429e3fdb349621507d5f2b5149c01d844aa6bf3ec89a215f9e4a750811624e

Aliases

arxiv: 2603.21621 · arxiv_version: 2603.21621v2 · doi: 10.48550/arxiv.2603.21621 · pith_short_12: 5BBJ4P63GSLC · pith_short_16: 5BBJ4P63GSLCCUD5 · pith_short_8: 5BBJ4P63

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/5BBJ4P63GSLCCUD5L4VVCSOADW \
  | 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: e8429e3fdb349621507d5f2b5149c01d844aa6bf3ec89a215f9e4a750811624e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ca86fa594eab58155b1144a70ad5df7f68f4a3370f7fa08af1845a564467dc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-03-23T06:37:42Z",
    "title_canon_sha256": "ff4414db2a9b0cf170152ea11cf8cf5a084cf4c80d2a84e4813543697ba4b16d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.21621",
    "kind": "arxiv",
    "version": 2
  }
}