Pith Number

pith:TILX2476

pith:2026:TILX2476FQFZGGXYICJDXHFUBL

not attested not anchored not stored refs pending

Neural Flow Operators can Approximate any Operator: Abstract Frameworks and Universal Approcimations

Juncai He, Shuang Chen, Xue-Cheng Tai

arxiv:2605.22557 v1 · 2026-05-21 · 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{TILX2476FQFZGGXYICJDXHFUBL}

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	2026-05-22T01:04:57.232602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a177d73fe2c0b931af840923b9cb40af2c91225f00c87ab806760e62a3ccf9a

Aliases

arxiv: 2605.22557 · arxiv_version: 2605.22557v1 · doi: 10.48550/arxiv.2605.22557 · pith_short_12: TILX2476FQFZ · pith_short_16: TILX2476FQFZGGXY · pith_short_8: TILX2476

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/TILX2476FQFZGGXYICJDXHFUBL \
  | 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: 9a177d73fe2c0b931af840923b9cb40af2c91225f00c87ab806760e62a3ccf9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bea30a55a88390209b345ca33638788c53fbbb7fcf966ff8a8fa45ffab66df55",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-21T14:39:43Z",
    "title_canon_sha256": "de3248fb1b6556755ad662ea50e76e34e564dc317f6c7e1b6321f2d3b2c2e124"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22557",
    "kind": "arxiv",
    "version": 1
  }
}