Pith Number

pith:2QWGS4SK

pith:2026:2QWGS4SKPLEF4EZZPXMZOAX3KN

not attested not anchored not stored refs pending

Graph Navier Stokes Networks

Guangsi Shi, Hongye Cheng, Shirui Pan, Tianyu Wang, Yu Gong, Yuxiao Li, Zexing Zhao

arxiv:2605.21247 v1 · 2026-05-20 · 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{2QWGS4SKPLEF4EZZPXMZOAX3KN}

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	2026-05-21T02:05:24.793728Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d42c69724a7ac85e13397dd99702fb5351cc1a682a5f0db334850335608d4a87

Aliases

arxiv: 2605.21247 · arxiv_version: 2605.21247v1 · doi: 10.48550/arxiv.2605.21247 · pith_short_12: 2QWGS4SKPLEF · pith_short_16: 2QWGS4SKPLEF4EZZ · pith_short_8: 2QWGS4SK

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/2QWGS4SKPLEF4EZZPXMZOAX3KN \
  | 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: d42c69724a7ac85e13397dd99702fb5351cc1a682a5f0db334850335608d4a87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75701ade9a2687598726c55da157292114a8500d3077bf1332d99bd55fa6820a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-20T14:36:52Z",
    "title_canon_sha256": "75891c965ee42ac91e7a85c26f18aa9a1c769479f3637ae9f105ae6ea49d255d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21247",
    "kind": "arxiv",
    "version": 1
  }
}