Pith Number

pith:75USLMZV

pith:2025:75USLMZVRNMAGHXYZ2TPAORVNL

not attested not anchored not stored refs pending

Scale-Consistent Learning for Partial Differential Equations

Anima Anandkumar, Catherine Deng, Kamyar Azizzadenesheli, Michael Chen, Samuel Lanthaler, Yixuan Wang, Zongyi Li

arxiv:2507.18813 v1 · 2025-07-24 · 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{75USLMZVRNMAGHXYZ2TPAORVNL}

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	2026-07-05T11:42:58.726929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff6925b3358b58031ef8cea6f03a356ac8bbff5580478d09982019d99504bbe3

Aliases

arxiv: 2507.18813 · arxiv_version: 2507.18813v1 · doi: 10.48550/arxiv.2507.18813 · pith_short_12: 75USLMZVRNMA · pith_short_16: 75USLMZVRNMAGHXY · pith_short_8: 75USLMZV

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/75USLMZVRNMAGHXYZ2TPAORVNL \
  | 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: ff6925b3358b58031ef8cea6f03a356ac8bbff5580478d09982019d99504bbe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98e9d9c47d9abbd2e2a7449eeb139aa66afe4236d802de2bf960345ef564848b",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-07-24T21:29:52Z",
    "title_canon_sha256": "de11568d5c8462d5860165605cf7293266ac0d046b890efd1daf964fa13f3838"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18813",
    "kind": "arxiv",
    "version": 1
  }
}