Pith Number

pith:DG322ZAL

pith:2026:DG322ZALUKMTF6AC6HM3GABKV4

not attested not anchored not stored refs pending

Mean field error estimate of the random batch method for vortex blob dynamics for the 2D Navier--Stokes Equation

Zhenyu Huang

arxiv:2608.06533 v1 · 2026-08-06 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DG322ZALUKMTF6AC6HM3GABKV4}

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	2026-08-10T01:10:57.653367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19b7ad640ba29932f802f1d9b3002aaf23854519f97b6a0772bcc13cd33df17a

Aliases

arxiv: 2608.06533 · arxiv_version: 2608.06533v1 · doi: 10.48550/arxiv.2608.06533 · pith_short_12: DG322ZALUKMT · pith_short_16: DG322ZALUKMTF6AC · pith_short_8: DG322ZAL

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/DG322ZALUKMTF6AC6HM3GABKV4 \
  | 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: 19b7ad640ba29932f802f1d9b3002aaf23854519f97b6a0772bcc13cd33df17a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beb5c4e695c9ef9b759aa48cc2c409e4e0faa5416db45e0895f2fe163c6d1792",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-08-06T19:34:54Z",
    "title_canon_sha256": "80e6b45928f015628bddb0b79800d125b13320a363025b4f0a0c8991045a8135"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.06533",
    "kind": "arxiv",
    "version": 1
  }
}