Pith Number

pith:7D7SPP2L

pith:2025:7D7SPP2L6SUOBEOS27VYAFMAT3

not attested not anchored not stored refs pending

Parametric Integration with Neural Integral Operators

Alexander Keller, Christoph Schied

arxiv:2507.17440 v1 · 2025-07-23 · cs.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7D7SPP2L6SUOBEOS27VYAFMAT3}

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	2026-07-05T11:42:07.670143Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ff27bf4bf4a8e091d2d7eb8015809ec3658edb2fe6e09aba861d3b40ef1a70

Aliases

arxiv: 2507.17440 · arxiv_version: 2507.17440v1 · doi: 10.48550/arxiv.2507.17440 · pith_short_12: 7D7SPP2L6SUO · pith_short_16: 7D7SPP2L6SUOBEOS · pith_short_8: 7D7SPP2L

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/7D7SPP2L6SUOBEOS27VYAFMAT3 \
  | 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: f8ff27bf4bf4a8e091d2d7eb8015809ec3658edb2fe6e09aba861d3b40ef1a70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a33f9be78ddac9e9343c06cf3dc509d10a09c5252f805deeeb9e7dca3041c89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GR",
    "submitted_at": "2025-07-23T12:02:01Z",
    "title_canon_sha256": "825f9abd625ef422d869b4e3e43ae437e8312a177152f62852f1d4c99bc3a4b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17440",
    "kind": "arxiv",
    "version": 1
  }
}