Pith Number

pith:TEZYOUS2

pith:2025:TEZYOUS232UTBJO5QIQ67X3U7D

not attested not anchored not stored refs pending

A multi-scale loss formulation for learning a probabilistic model with proper score optimisation

Martin Leutbecher, Pedro Maciel, Simon Lang

arxiv:2506.10868 v1 · 2025-06-12 · physics.ao-ph · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TEZYOUS232UTBJO5QIQ67X3U7D}

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	2026-07-05T11:20:39.005761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

993387525adea930a5dd8221efdf74f8f6018f7b3c523dedc2c51fcbd6f36f25

Aliases

arxiv: 2506.10868 · arxiv_version: 2506.10868v1 · doi: 10.48550/arxiv.2506.10868 · pith_short_12: TEZYOUS232UT · pith_short_16: TEZYOUS232UTBJO5 · pith_short_8: TEZYOUS2

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/TEZYOUS232UTBJO5QIQ67X3U7D \
  | 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: 993387525adea930a5dd8221efdf74f8f6018f7b3c523dedc2c51fcbd6f36f25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f70efe0b30201f32d7b111176c6c7b20d65fdb214197865f4150ff6d90d527d",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "physics.ao-ph",
    "submitted_at": "2025-06-12T16:30:18Z",
    "title_canon_sha256": "d2bfee3ea6275adad8d61c0a1c688a916857d4166d7aba0a103e91cf7025111e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.10868",
    "kind": "arxiv",
    "version": 1
  }
}