Pith Number

pith:ZNQCLJPZ

pith:2024:ZNQCLJPZWKQPPTEGQTEKBZCEJG

not attested not anchored not stored refs pending

Variational formulation based on duality to solve partial differential equations: Use of B-splines and machine learning approximants

Amit Acharya, N. Sukumar

arxiv:2412.01232 v2 · 2024-12-02 · math.NA · cs.LG · cs.NA · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNQCLJPZWKQPPTEGQTEKBZCEJG}

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	2026-07-05T10:22:10.802386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb6025a5f9b2a0f7cc8684c8a0e44449bbe4ddc29af4cca81335852ec7fe7b1f

Aliases

arxiv: 2412.01232 · arxiv_version: 2412.01232v2 · doi: 10.48550/arxiv.2412.01232 · pith_short_12: ZNQCLJPZWKQP · pith_short_16: ZNQCLJPZWKQPPTEG · pith_short_8: ZNQCLJPZ

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/ZNQCLJPZWKQPPTEGQTEKBZCEJG \
  | 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: cb6025a5f9b2a0f7cc8684c8a0e44449bbe4ddc29af4cca81335852ec7fe7b1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2560974f80bf428121e9fec0fce6f13d69e9b91df6ed19d0a3abd76d5e2fd6b3",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-12-02T07:53:47Z",
    "title_canon_sha256": "c9ebd826ac90a8d1812f710a3b5d71fe99fac7360d86e641e364e5d60430419f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01232",
    "kind": "arxiv",
    "version": 2
  }
}