Pith Number

pith:K5KQL3RB

pith:2026:K5KQL3RBBJHMMG6HADE73O5UAX

not attested not anchored not stored refs pending

Curriculum Multiple Shooting for Robust Training of Neural and Universal Differential Equations

Branwen Snelling, Fabian Fr\"ohlich, Giacomo Fabrini, Sebastian Persson

arxiv:2608.05777 v1 · 2026-08-06 · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K5KQL3RBBJHMMG6HADE73O5UAX}

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	2026-08-07T00:52:44.120346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

575505ee210a4ec61bc700c9fdbbb405ee812c04e032acf1d44d960472d92029

Aliases

arxiv: 2608.05777 · arxiv_version: 2608.05777v1 · doi: 10.48550/arxiv.2608.05777 · pith_short_12: K5KQL3RBBJHM · pith_short_16: K5KQL3RBBJHMMG6H · pith_short_8: K5KQL3RB

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/K5KQL3RBBJHMMG6HADE73O5UAX \
  | 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: 575505ee210a4ec61bc700c9fdbbb405ee812c04e032acf1d44d960472d92029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "795587c1bc351ecea3c966effa9649ba4dd369fa3ad5a8cb9bfc330d97b51c63",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.QM",
    "submitted_at": "2026-08-06T09:10:15Z",
    "title_canon_sha256": "f36a8b89946f9a0cb9d45c6e56e9ab3b0d0e6f97a219e3cd8fe6595444be9251"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05777",
    "kind": "arxiv",
    "version": 1
  }
}