Pith Number

pith:AFBM3OU3

pith:2025:AFBM3OU37SCBTK2MDCN5E6CQYE

not attested not anchored not stored refs pending

A Learning-based Domain Decomposition Method

Burigede Liu, Nikola Kovachki, Rui Wu

arxiv:2507.17328 v2 · 2025-07-23 · cs.LG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFBM3OU37SCBTK2MDCN5E6CQYE}

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	2026-07-05T11:44:10.506222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0142cdba9bfc8419ab4c189bd27850c1198cc5395aff6b4f34ba20e5a0ab9063

Aliases

arxiv: 2507.17328 · arxiv_version: 2507.17328v2 · doi: 10.48550/arxiv.2507.17328 · pith_short_12: AFBM3OU37SCB · pith_short_16: AFBM3OU37SCBTK2M · pith_short_8: AFBM3OU3

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/AFBM3OU37SCBTK2MDCN5E6CQYE \
  | 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: 0142cdba9bfc8419ab4c189bd27850c1198cc5395aff6b4f34ba20e5a0ab9063

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbb6fd4e3b8802df8dc5a0ab33c94fe7a28425eb46c332b39c87ce321005d66e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-23T08:54:36Z",
    "title_canon_sha256": "dddd2fedf72710f09ac5d16b688ea8822ca9b70932a158d12af56515b3eae265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17328",
    "kind": "arxiv",
    "version": 2
  }
}