Pith Number

pith:V3I4O37H

pith:2022:V3I4O37HDNUPH5KFBX52WLPVFJ

not attested not anchored not stored refs pending

Performance Portable Solid Mechanics via Matrix-Free $p$-Multigrid

Jed Brown, Jeremy L. Thompson, Junchao Zhang, Karen Stengel, Leila Ghaffari, Matthew Knepley, Natalie Beams, Rezgar Shakeri, Valeria Barra, William Moses

arxiv:2204.01722 v3 · 2022-04-04 · cs.MS · cs.CE · cs.DC · 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{V3I4O37HDNUPH5KFBX52WLPVFJ}

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.

Cited by

1 paper in Pith

A matrix-free, differentiable PyTorch solver for phase-field fracture: Formulation, benchmarks, and inverse analysis

Receipt and verification

First computed	2026-07-05T04:26:00.507849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aed1c76fe71b68f3f5450dfbab2df52a7281c6855d3da385bf00979f7416a0e6

Aliases

arxiv: 2204.01722 · arxiv_version: 2204.01722v3 · doi: 10.48550/arxiv.2204.01722 · pith_short_12: V3I4O37HDNUP · pith_short_16: V3I4O37HDNUPH5KF · pith_short_8: V3I4O37H

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/V3I4O37HDNUPH5KFBX52WLPVFJ \
  | 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: aed1c76fe71b68f3f5450dfbab2df52a7281c6855d3da385bf00979f7416a0e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4db72de1881f74de8b2392af251b724c89e47bce2da9227b38a2855fe42e47c",
    "cross_cats_sorted": [
      "cs.CE",
      "cs.DC",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.MS",
    "submitted_at": "2022-04-04T04:41:24Z",
    "title_canon_sha256": "36eb200db9b747165b18a98259469f371abf9aa7a6ba2a26193d32cb76b27459"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.01722",
    "kind": "arxiv",
    "version": 3
  }
}