Pith Number

pith:U2LY22VB

pith:2021:U2LY22VBN4AZ7JB46EJOYVRUGP

not attested not anchored not stored refs pending

A physics-informed variational DeepONet for predicting the crack path in brittle materials

George Karniadakis, Minglang Yin, Somdatta Goswami, Yue Yu

arxiv:2108.06905 v2 · 2021-08-16 · 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{U2LY22VBN4AZ7JB46EJOYVRUGP}

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	2026-07-05T03:57:10.871821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6978d6aa16f019fa43cf112ec563433e01a66fa551a73fad3d973f8f5989bb4

Aliases

arxiv: 2108.06905 · arxiv_version: 2108.06905v2 · doi: 10.48550/arxiv.2108.06905 · pith_short_12: U2LY22VBN4AZ · pith_short_16: U2LY22VBN4AZ7JB4 · pith_short_8: U2LY22VB

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/U2LY22VBN4AZ7JB46EJOYVRUGP \
  | 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: a6978d6aa16f019fa43cf112ec563433e01a66fa551a73fad3d973f8f5989bb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fcb6f5e97b866f8bdcdea0fc5b87ec5e2dea4989c54077c85b9dab46c0d25c2",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-08-16T05:31:05Z",
    "title_canon_sha256": "99d831f3ee2b81118372618b11e3f83b72e67763d202ea3e0f9281345bcb939e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.06905",
    "kind": "arxiv",
    "version": 2
  }
}