Pith Number

pith:27WVEMWD

pith:2011:27WVEMWDUHAHM4NGRYAVDTY4C4

not attested not anchored not stored refs pending

Quasi-optimal convergence rate for adaptive mixed finite element methods

Shaohong Du, Xiaoping Xie

arxiv:1101.1224 v1 · 2011-01-06 · 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{27WVEMWDUHAHM4NGRYAVDTY4C4}

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	2026-05-18T04:32:00.299206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7ed5232c3a1c07671a68e0151cf1c173bb15125e34ce1de27258b151851c180

Aliases

arxiv: 1101.1224 · arxiv_version: 1101.1224v1 · doi: 10.48550/arxiv.1101.1224 · pith_short_12: 27WVEMWDUHAH · pith_short_16: 27WVEMWDUHAHM4NG · pith_short_8: 27WVEMWD

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/27WVEMWDUHAHM4NGRYAVDTY4C4 \
  | 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: d7ed5232c3a1c07671a68e0151cf1c173bb15125e34ce1de27258b151851c180

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b98fe3d114ea689ef42e9f6a810dc4a44a4238a3e4fff666ba26642c63590b1a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-01-06T14:31:40Z",
    "title_canon_sha256": "8119c697d13a1cc6196f33eac465e647ad25f5d90ae3a04c348144d2eef34f69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1224",
    "kind": "arxiv",
    "version": 1
  }
}