Pith Number

pith:5WXNBF2V

pith:2026:5WXNBF2VSBQL4KX4FG75GG6FRI

not attested not anchored not stored refs pending

Discrete energy as an exact label-free training objective for finite-element surrogates

Ruifeng Cao (The University of Manchester), Xidan Song (Wuhan University)

arxiv:2608.05437 v1 · 2026-08-05 · cs.CE · cs.LG · cs.NA · math.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{5WXNBF2VSBQL4KX4FG75GG6FRI}

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	2026-08-07T00:47:51.695948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edaed097559060be2afc29bfd31bc58a108f7c48149df2e5f0c93307ff404d85

Aliases

arxiv: 2608.05437 · arxiv_version: 2608.05437v1 · doi: 10.48550/arxiv.2608.05437 · pith_short_12: 5WXNBF2VSBQL · pith_short_16: 5WXNBF2VSBQL4KX4 · pith_short_8: 5WXNBF2V

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/5WXNBF2VSBQL4KX4FG75GG6FRI \
  | 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: edaed097559060be2afc29bfd31bc58a108f7c48149df2e5f0c93307ff404d85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d17db3bfbcada349b7c9c3fe6578abe8d9f9fabad42d93d2b46f180eb333efce",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2026-08-05T22:15:38Z",
    "title_canon_sha256": "be6f8fbcb77c9824b59271c5b1f8cbaf781b8ccab42eb57d65dcbb01a4da2df8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05437",
    "kind": "arxiv",
    "version": 1
  }
}