Pith Number

pith:2Y4IYMYJ

pith:2016:2Y4IYMYJNAISDTVPKQY36EKQL4

not attested not anchored not stored refs pending

A two-scale approach for efficient on-the-fly operator assembly in massively parallel high performance multigrid codes

Barbara Wohlmuth, Jens Weism\"uller, Marcus Mohr, Markus Wittmann, Simon Bauer, Ulrich R\"ude

arxiv:1608.06473 v1 · 2016-08-23 · math.NA · cs.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{2Y4IYMYJNAISDTVPKQY36EKQL4}

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	2026-05-18T01:08:08.268519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6388c3309681121ceaf5431bf11505f302f5a0359e318787f38da2294882b4b

Aliases

arxiv: 1608.06473 · arxiv_version: 1608.06473v1 · doi: 10.48550/arxiv.1608.06473 · pith_short_12: 2Y4IYMYJNAIS · pith_short_16: 2Y4IYMYJNAISDTVP · pith_short_8: 2Y4IYMYJ

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/2Y4IYMYJNAISDTVPKQY36EKQL4 \
  | 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: d6388c3309681121ceaf5431bf11505f302f5a0359e318787f38da2294882b4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dfb4ed31a152a26eeb0260ee18e56e05bbebfef83949395d990595dc2de52a5",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-08-23T11:43:20Z",
    "title_canon_sha256": "dbea197651be9af69942c4b4824048bc085c21fd6da8ca5b60310eda4ae482db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06473",
    "kind": "arxiv",
    "version": 1
  }
}