Pith Number

pith:M5WEMD7K

pith:2017:M5WEMD7KRTOLLJYPP4CDUK3H4I

not attested not anchored not stored refs pending

A Bramble-Pasciak conjugate gradient method for discrete Stokes problems with lognormal random viscosity

Christopher M\"uller, Jens Lang, Sebastian Ullmann

arxiv:1712.06472 v2 · 2017-12-18 · 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{M5WEMD7KRTOLLJYPP4CDUK3H4I}

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	2026-05-18T00:00:39.821781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

676c460fea8cdcb5a70f7f043a2b67e2012140530a602e470a8aa068c60496dd

Aliases

arxiv: 1712.06472 · arxiv_version: 1712.06472v2 · doi: 10.48550/arxiv.1712.06472 · pith_short_12: M5WEMD7KRTOL · pith_short_16: M5WEMD7KRTOLLJYP · pith_short_8: M5WEMD7K

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/M5WEMD7KRTOLLJYPP4CDUK3H4I \
  | 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: 676c460fea8cdcb5a70f7f043a2b67e2012140530a602e470a8aa068c60496dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "397d12797f441a6956e34ba989becc7e7b18a5a981c3b757781a89dfd7bd294b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-12-18T15:35:47Z",
    "title_canon_sha256": "5ec37c2c2903b4cbae6418bed28897a96cd6d8b0004919cc07a8f8726c81f7c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06472",
    "kind": "arxiv",
    "version": 2
  }
}