Pith Number

pith:HO7ANR7F

pith:2009:HO7ANR7FAEZCSPMEDB2UYPQAFX

not attested not anchored not stored refs pending

Direct Multi-grid Methods for Linear Systems with Harmonic Aliasing Patterns

Pablo Navarrete Michelini

arxiv:0908.3346 v2 · 2009-08-24 · 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{HO7ANR7FAEZCSPMEDB2UYPQAFX}

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	2026-05-18T02:12:23.775097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bbe06c7e50132293d8418754c3e002dca349d7bbbaed51f31de74d608f93464

Aliases

arxiv: 0908.3346 · arxiv_version: 0908.3346v2 · doi: 10.48550/arxiv.0908.3346 · pith_short_12: HO7ANR7FAEZC · pith_short_16: HO7ANR7FAEZCSPME · pith_short_8: HO7ANR7F

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/HO7ANR7FAEZCSPMEDB2UYPQAFX \
  | 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: 3bbe06c7e50132293d8418754c3e002dca349d7bbbaed51f31de74d608f93464

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e968904bcc46b304251fea2093e63bd18e07c4670ed4d3b7f8564de1736db2c7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-08-24T01:11:18Z",
    "title_canon_sha256": "cca10b6ee6f7ba371f42279181c48ab3b7f3e9afeb5ad3fc14ea19ad8e89dea6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3346",
    "kind": "arxiv",
    "version": 2
  }
}