Pith Number

pith:P345WXVD

pith:2019:P345WXVDTIHVO3NFKOKURDLJXG

not attested not anchored not stored refs pending

Galerkin approximation of linear problems in Banach and Hilbert spaces

Isabelle Chalendar (LAMA), Robert Eymard (LAMA), Wolfgang Arendt

arxiv:1908.03326 v3 · 2019-08-09 · 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{P345WXVDTIHVO3NFKOKURDLJXG}

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	2026-07-05T01:17:38.187067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ef9db5ea39a0f576da55395488d69b9b07a26bde38bb99c834175b62fba1cdc

Aliases

arxiv: 1908.03326 · arxiv_version: 1908.03326v3 · doi: 10.48550/arxiv.1908.03326 · pith_short_12: P345WXVDTIHV · pith_short_16: P345WXVDTIHVO3NF · pith_short_8: P345WXVD

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/P345WXVDTIHVO3NFKOKURDLJXG \
  | 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: 7ef9db5ea39a0f576da55395488d69b9b07a26bde38bb99c834175b62fba1cdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "385727f6ed9d8ad31b4953f6c6c97e287ea3c8f52adcfa0c66a47c1f7ce316b8",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-08-09T06:32:57Z",
    "title_canon_sha256": "a4d8af6a00e1f61137bb5c3e18dfdcb50c3f432806ffe92a63b57b870e0b221c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03326",
    "kind": "arxiv",
    "version": 3
  }
}