Pith Number

pith:W6MLCT27

pith:2026:W6MLCT27ENY5CP6M6Y3HENRKK2

not attested not anchored not stored refs pending

Physics-Informed Neural Embeddings of PDE Solution Families

David N. Spergel, Leonid Sarieddine, Pavlos Protopapas, Pedro Taranc\'on-\'Alvarez, Raul Jimenez, Svitlana Mayboroda

arxiv:2607.06348 v1 · 2026-07-07 · cs.LG · cs.NA · math.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{W6MLCT27ENY5CP6M6Y3HENRKK2}

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	2026-07-08T01:19:22.239789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b798b14f5f2371d13fccf63672362a56ade7abedf0b74cb72eeed1ae5bedbd88

Aliases

arxiv: 2607.06348 · arxiv_version: 2607.06348v1 · doi: 10.48550/arxiv.2607.06348 · pith_short_12: W6MLCT27ENY5 · pith_short_16: W6MLCT27ENY5CP6M · pith_short_8: W6MLCT27

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/W6MLCT27ENY5CP6M6Y3HENRKK2 \
  | 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: b798b14f5f2371d13fccf63672362a56ade7abedf0b74cb72eeed1ae5bedbd88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13ce0f6ed546c4563fc210b326882128136e0f858e22f9b732ca88fce8a9525e",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-07T14:45:42Z",
    "title_canon_sha256": "ba1ab3b7048d70f4566e9371b767589683835170b78d3c394161f8ea88052a95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06348",
    "kind": "arxiv",
    "version": 1
  }
}