Pith Number

pith:4TT2WE2I

pith:2018:4TT2WE2IYXUCTO72K65XWAE7CH

not attested not anchored not stored refs pending

Convergence of adaptive stochastic Galerkin FEM

Alex Bespalov, Dirk Praetorius, Leonardo Rocchi, Michele Ruggeri

arxiv:1811.09462 v1 · 2018-11-23 · math.NA · cs.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{4TT2WE2IYXUCTO72K65XWAE7CH}

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	2026-06-04T20:13:42.993848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4e7ab1348c5e829bbfa57bb7b009f11e99c56bc240290ac7962904a17aa3148

Aliases

arxiv: 1811.09462 · arxiv_version: 1811.09462v1 · doi: 10.48550/arxiv.1811.09462 · pith_short_12: 4TT2WE2IYXUC · pith_short_16: 4TT2WE2IYXUCTO72 · pith_short_8: 4TT2WE2I

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/4TT2WE2IYXUCTO72K65XWAE7CH \
  | 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: e4e7ab1348c5e829bbfa57bb7b009f11e99c56bc240290ac7962904a17aa3148

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15b8ed0c4de532897855a1d6ccf72a40aebaf7cb4ddf42961f7c6d7990fa6d11",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-11-23T13:10:09Z",
    "title_canon_sha256": "02c29a35d5a34e73700a10048761c27cf2eb5290656d65121ea65c1d2eda0f1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09462",
    "kind": "arxiv",
    "version": 1
  }
}