Pith Number

pith:PCZCX22Z

pith:2022:PCZCX22ZWAYGIB4XMBTN2RDLXA

not attested not anchored not stored refs pending

Coarsest-level improvements in multigrid for lattice QCD on large-scale computers

Andreas Frommer, Gustavo Ramirez-Hidalgo, Jesus Espinoza-Valverde, Matthias Rottmann

arxiv:2205.09104 v4 · 2022-05-18 · math.NA · cs.DC · cs.NA · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCZCX22ZWAYGIB4XMBTN2RDLXA}

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	2026-07-05T05:54:54.197674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b22beb59b0306407976066dd446bb812115716d77c1b5e3bf4b564f369cf56

Aliases

arxiv: 2205.09104 · arxiv_version: 2205.09104v4 · doi: 10.48550/arxiv.2205.09104 · pith_short_12: PCZCX22ZWAYG · pith_short_16: PCZCX22ZWAYGIB4X · pith_short_8: PCZCX22Z

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/PCZCX22ZWAYGIB4XMBTN2RDLXA \
  | 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: 78b22beb59b0306407976066dd446bb812115716d77c1b5e3bf4b564f369cf56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbd13084824ffcfcfb93f9a583e6fd1f514f404c19edcd7b4d48279a2df99d31",
    "cross_cats_sorted": [
      "cs.DC",
      "cs.NA",
      "hep-lat"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-05-18T17:51:55Z",
    "title_canon_sha256": "f7bb946b5b061064ffc2c13f9b3362fc10c408df59a0dbb9eeecbaea88eace32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.09104",
    "kind": "arxiv",
    "version": 4
  }
}