Pith Number

pith:VBWV4FD2

pith:2026:VBWV4FD2LDTZ56KTKZ2QGVVN7S

not attested not anchored not stored refs pending

SpatialFlow-GRPO: Where Spatial Credit Drives Image Editing

Bin Wen, Fan Yang, Han Li, Hongyang Wei, Shuo Yang, Tingting Gao, Wei Chen, Xingyu Lu, Yancheng Long, Yankai Yang

arxiv:2606.26872 v1 · 2026-06-25 · cs.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBWV4FD2LDTZ56KTKZ2QGVVN7S}

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	2026-06-26T01:16:02.459785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a86d5e147a58e79ef95356750356adfc9bafef433ca29600b612e0465b910f9b

Aliases

arxiv: 2606.26872 · arxiv_version: 2606.26872v1 · doi: 10.48550/arxiv.2606.26872 · pith_short_12: VBWV4FD2LDTZ · pith_short_16: VBWV4FD2LDTZ56KT · pith_short_8: VBWV4FD2

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/VBWV4FD2LDTZ56KTKZ2QGVVN7S \
  | 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: a86d5e147a58e79ef95356750356adfc9bafef433ca29600b612e0465b910f9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80131f42d4b1eae06372a6034aa5e977d3fce804f8d9b31cfbb0a919f8ea03fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2026-06-25T10:58:25Z",
    "title_canon_sha256": "09705745251b724ddf862f1950d0010c77e9c89c4c6f9eac41acafd65cb8afea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26872",
    "kind": "arxiv",
    "version": 1
  }
}