Pith Number

pith:XQHVZ4AZ

pith:2021:XQHVZ4AZGOQ6EPCCYSP4XLDLFO

not attested not anchored not stored refs pending

Multiwavelet-based Operator Learning for Differential Equations

Gaurav Gupta, Paul Bogdan, Xiongye Xiao

arxiv:2109.13459 v2 · 2021-09-28 · cs.LG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XQHVZ4AZGOQ6EPCCYSP4XLDLFO}

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.

Cited by

1 paper in Pith

HAMNO: A Hierarchical Adaptive Multi-scale Neural Operator with Physics-Informed Learning for Dynamical Systems

Receipt and verification

First computed	2026-07-05T03:21:14.249216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc0f5cf01933a1e23c42c49fcbac6b2b96e23d143c19c1d9032bfafda0b076a2

Aliases

arxiv: 2109.13459 · arxiv_version: 2109.13459v2 · doi: 10.48550/arxiv.2109.13459 · pith_short_12: XQHVZ4AZGOQ6 · pith_short_16: XQHVZ4AZGOQ6EPCC · pith_short_8: XQHVZ4AZ

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/XQHVZ4AZGOQ6EPCCYSP4XLDLFO \
  | 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: bc0f5cf01933a1e23c42c49fcbac6b2b96e23d143c19c1d9032bfafda0b076a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc047542ed20ce4e671cead51f6e55b9eca711ea5dab9c5220244ca22430316f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-09-28T03:21:47Z",
    "title_canon_sha256": "43d94feb3aaed9c8dec5fe7b70169e5c7807763b01308a314eed1c6273229443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.13459",
    "kind": "arxiv",
    "version": 2
  }
}