Pith Number

pith:YX7LESGO

pith:2026:YX7LESGOMJSDBYHL5EB5CAESNJ

not attested not anchored not stored refs pending

Structure-Preserving Neural ODEs via Nonstandard Finite Difference Discretization

Achraf Zinihi, Matthias Ehrhardt, Moulay Rchid Sidi Ammi

arxiv:2607.10858 v1 · 2026-07-12 · math.NA · 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{YX7LESGOMJSDBYHL5EB5CAESNJ}

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	2026-07-14T01:21:43.942370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5feb248ce626430e0ebe903d100926a567680729f313874c119eab810039bfa

Aliases

arxiv: 2607.10858 · arxiv_version: 2607.10858v1 · doi: 10.48550/arxiv.2607.10858 · pith_short_12: YX7LESGOMJSD · pith_short_16: YX7LESGOMJSDBYHL · pith_short_8: YX7LESGO

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/YX7LESGOMJSDBYHL5EB5CAESNJ \
  | 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: c5feb248ce626430e0ebe903d100926a567680729f313874c119eab810039bfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5ae81266819c2fac392b9ef3649e9d5707d5ebbfcc12dcab2856fc6bef46ecf",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-12T17:45:05Z",
    "title_canon_sha256": "45d2012f0f877c23a75ea72cc95b73bd48ff68fec001dca4fb755a1be726ed33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10858",
    "kind": "arxiv",
    "version": 1
  }
}