Pith Number

pith:XSZALDYJ

pith:2026:XSZALDYJQFQMNGF53S3FZQ27BW

not attested not anchored not stored refs pending

Physics-Informed Neural Networks and Radial Basis Functions for PDEs with Dirac Delta Sources

Alexandre Tartakovsky, Manuel Reyna

arxiv:2606.12735 v1 · 2026-06-10 · 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{XSZALDYJQFQMNGF53S3FZQ27BW}

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	2026-06-12T01:08:48.110588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcb2058f098160c698bddcb65cc35f0d9503b1eb24a5b767d8af2afa73893952

Aliases

arxiv: 2606.12735 · arxiv_version: 2606.12735v1 · doi: 10.48550/arxiv.2606.12735 · pith_short_12: XSZALDYJQFQM · pith_short_16: XSZALDYJQFQMNGF5 · pith_short_8: XSZALDYJ

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/XSZALDYJQFQMNGF53S3FZQ27BW \
  | 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: bcb2058f098160c698bddcb65cc35f0d9503b1eb24a5b767d8af2afa73893952

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d034597bde2286b40946dd45d87e873c6153c11dd12c93f41c31bf47833f813f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-10T22:53:43Z",
    "title_canon_sha256": "3af2af3e5ac6e3723fd0e478a979fe7317b8dae1fa2daeef2fe9f56dafc70242"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12735",
    "kind": "arxiv",
    "version": 1
  }
}