Pith Number

pith:RZA2M2DS

pith:2021:RZA2M2DSXSSDUTN2OEUJFV5GIA

not attested not anchored not stored refs pending

Multigrid and saddle-point preconditioners for unfitted finite element modelling of inclusions

Hardik Kothari, Rolf Krause

arxiv:2102.08112 v1 · 2021-02-16 · 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{RZA2M2DSXSSDUTN2OEUJFV5GIA}

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	2026-07-05T02:26:17.816606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e41a66872bca43a4dba712892d7a640267430dce5395da58ce5a5a5dc7cbe06

Aliases

arxiv: 2102.08112 · arxiv_version: 2102.08112v1 · doi: 10.48550/arxiv.2102.08112 · pith_short_12: RZA2M2DSXSSD · pith_short_16: RZA2M2DSXSSDUTN2 · pith_short_8: RZA2M2DS

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/RZA2M2DSXSSDUTN2OEUJFV5GIA \
  | 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: 8e41a66872bca43a4dba712892d7a640267430dce5395da58ce5a5a5dc7cbe06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d67a59a6ff2902de1581aaef4cb3380ebc55e6a48b8a94a01f9dabcde47e528",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-02-16T12:29:17Z",
    "title_canon_sha256": "eee047fc47184576029a23a82006bfc5a7c5db3ac24f0c371d78e548e3ec8b97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.08112",
    "kind": "arxiv",
    "version": 1
  }
}