Pith Number

pith:LKVMTZTR

pith:2026:LKVMTZTRIOTEWYOHKS5MASHGWE

not attested not anchored not stored refs pending

Data-free neural PDE solvers based on Graph Neural Networks and weak forms

David Gonzalez, Elias Cueto, Iciar Alfaro, Mikel M. Iparraguirre

arxiv:2607.27901 v1 · 2026-07-30 · cs.CE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LKVMTZTRIOTEWYOHKS5MASHGWE}

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	2026-07-31T01:34:45.543921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

5aaac9e67143a64b61c754bac048e6b13d0f838915efe52fa7663f349db7dd9e

Aliases

arxiv: 2607.27901 · arxiv_version: 2607.27901v1 · doi: 10.48550/arxiv.2607.27901 · pith_short_12: LKVMTZTRIOTE · pith_short_16: LKVMTZTRIOTEWYOH · pith_short_8: LKVMTZTR

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/LKVMTZTRIOTEWYOHKS5MASHGWE \
  | 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: 5aaac9e67143a64b61c754bac048e6b13d0f838915efe52fa7663f349db7dd9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cefa0d26412c8aadcb0f8af3666545c6aa5390f75593b9492c08726c2e7853fb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2026-07-30T09:17:03Z",
    "title_canon_sha256": "a4944dc0a681f3237bfd54c07134d60ef909c1504a636d320d3daae3a7defc22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27901",
    "kind": "arxiv",
    "version": 1
  }
}