Pith Number

pith:DXBR4OD3

pith:2024:DXBR4OD3B5Y2CJ26IXMYUURT2I

not attested not anchored not stored refs pending

Structure-informed operator learning for parabolic Partial Differential Equations

Fred Espen Benth, Luca Galimberti, Nils Detering

arxiv:2411.09511 v1 · 2024-11-14 · math.AP · cs.NA · math.NA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXBR4OD3B5Y2CJ26IXMYUURT2I}

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	2026-07-05T09:35:27.983726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dc31e387b0f71a1275e45d98a5233d23af08dff51c9c45d4e7851e5ecd91a78

Aliases

arxiv: 2411.09511 · arxiv_version: 2411.09511v1 · doi: 10.48550/arxiv.2411.09511 · pith_short_12: DXBR4OD3B5Y2 · pith_short_16: DXBR4OD3B5Y2CJ26 · pith_short_8: DXBR4OD3

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/DXBR4OD3B5Y2CJ26IXMYUURT2I \
  | 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: 1dc31e387b0f71a1275e45d98a5233d23af08dff51c9c45d4e7851e5ecd91a78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06643ab7be4e9a33c315159d50e58c7104b1123f33561f95b318ddacabca00ee",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-14T15:23:06Z",
    "title_canon_sha256": "000d33a8f0074e337471de5245fba212cb75923c0deee3aeca1e96c11be385ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.09511",
    "kind": "arxiv",
    "version": 1
  }
}