Pith Number

pith:YYVMZ6XF

pith:2026:YYVMZ6XFE4GYTJ6RGZ7CMYQTD5

not attested not anchored not stored refs pending

Integral Gauss formula and the Poisson equation for the $G_2$-Laplacian

Artem Pulemotov, Stepan Hudecek, Timothy Buttsworth

arxiv:2606.29659 v1 · 2026-06-28 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYVMZ6XFE4GYTJ6RGZ7CMYQTD5}

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	2026-06-30T02:17:29.247552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c62accfae5270d89a7d1367e2662131f44ce2830f99ef8e7c5a583945e7e760e

Aliases

arxiv: 2606.29659 · arxiv_version: 2606.29659v1 · doi: 10.48550/arxiv.2606.29659 · pith_short_12: YYVMZ6XFE4GY · pith_short_16: YYVMZ6XFE4GYTJ6R · pith_short_8: YYVMZ6XF

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/YYVMZ6XFE4GYTJ6RGZ7CMYQTD5 \
  | 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: c62accfae5270d89a7d1367e2662131f44ce2830f99ef8e7c5a583945e7e760e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "688513a583468af130ff8d85fa1001f2e8afd22ae83d532f323104e72a3978ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-28T23:59:54Z",
    "title_canon_sha256": "9b45e4a059bd9ab02c9c003476e68eb4fe6117096e55ee9ffc1ca6e393030c7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29659",
    "kind": "arxiv",
    "version": 1
  }
}