Pith Number

pith:4PR6MEL2

pith:2012:4PR6MEL25ISKOTFATCZWRJKVGN

not attested not anchored not stored refs pending

Accurate and efficient evaluation of the a posteriori error estimator in the reduced basis method

Alexandre Ern, Fabien Casenave, Tony Leli\`evre

arxiv:1212.0970 v3 · 2012-12-05 · 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{4PR6MEL25ISKOTFATCZWRJKVGN}

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	2026-05-18T02:51:49.702061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3e3e6117aea24a74ca098b368a555337d3815ae721dc47ba92da25d2b9e0c4c

Aliases

arxiv: 1212.0970 · arxiv_version: 1212.0970v3 · doi: 10.48550/arxiv.1212.0970 · pith_short_12: 4PR6MEL25ISK · pith_short_16: 4PR6MEL25ISKOTFA · pith_short_8: 4PR6MEL2

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/4PR6MEL25ISKOTFATCZWRJKVGN \
  | 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: e3e3e6117aea24a74ca098b368a555337d3815ae721dc47ba92da25d2b9e0c4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b5804d679e6ab22e05efa141aa5ccefec4f3e6f2642a83602b5041314962fa4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-12-05T09:07:52Z",
    "title_canon_sha256": "12d1f1fda45dbd48c52b2559b3f8e593581fadc13cf53c407d2f116361203fce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0970",
    "kind": "arxiv",
    "version": 3
  }
}