Pith Number

pith:LMJIKEUI

pith:2016:LMJIKEUIV4OMH5I2YHZKDMUQTW

not attested not anchored not stored refs pending

Robust Multigrid for Isogeometric Analysis Based on Stable Splittings of Spline Spaces

Clemens Hofreither, Stefan Takacs

arxiv:1607.05035 v1 · 2016-07-18 · 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{LMJIKEUIV4OMH5I2YHZKDMUQTW}

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	2026-05-18T00:37:48.372435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b12851288af1cc3f51ac1f2a1b2909dac2d5a54ef775a101e8abe9245511401

Aliases

arxiv: 1607.05035 · arxiv_version: 1607.05035v1 · doi: 10.48550/arxiv.1607.05035 · pith_short_12: LMJIKEUIV4OM · pith_short_16: LMJIKEUIV4OMH5I2 · pith_short_8: LMJIKEUI

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/LMJIKEUIV4OMH5I2YHZKDMUQTW \
  | 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: 5b12851288af1cc3f51ac1f2a1b2909dac2d5a54ef775a101e8abe9245511401

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9772d60d1ffffc17f1ddb7df678a8390757225dd001e4f63acfb12113b117af8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-07-18T12:07:22Z",
    "title_canon_sha256": "31d9bb54b490c7bba6def422b91d365e47cef42ba2baae757576dfb95051ed94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05035",
    "kind": "arxiv",
    "version": 1
  }
}