Pith Number

pith:AWVFCELV

pith:2010:AWVFCELVMNLHKFOSZFM4FKYWIO

not attested not anchored not stored refs pending

Optimal Local Approximation Spaces for Generalized Finite Element Methods with Application to Multiscale Problems

Ivo Babuska, Robert Lipton

arxiv:1004.3041 v2 · 2010-04-18 · 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{AWVFCELVMNLHKFOSZFM4FKYWIO}

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	2026-05-18T04:34:37.150330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05aa51117563567515d2c959c2ab1643a4a8306384113880c8dd0ac8bbb7a73a

Aliases

arxiv: 1004.3041 · arxiv_version: 1004.3041v2 · doi: 10.48550/arxiv.1004.3041 · pith_short_12: AWVFCELVMNLH · pith_short_16: AWVFCELVMNLHKFOS · pith_short_8: AWVFCELV

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/AWVFCELVMNLHKFOSZFM4FKYWIO \
  | 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: 05aa51117563567515d2c959c2ab1643a4a8306384113880c8dd0ac8bbb7a73a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "839b8076536f25cf5f8db2c9da8a9f473c164daf90649edff7d464805d183b8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-04-18T17:30:49Z",
    "title_canon_sha256": "b20c170979599fcfa37b76c6a88d925b98e014005075773064e147a24b8e0dcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3041",
    "kind": "arxiv",
    "version": 2
  }
}