Pith Number

pith:57IEMY7Y

pith:2015:57IEMY7YPH64QOHGEGZ7SDYFVV

not attested not anchored not stored refs pending

Discretization of Linear Problems in Banach Spaces: Residual Minimization, Nonlinear Petrov-Galerkin, and Monotone Mixed Methods

Ignacio Muga, Kristoffer G. van der Zee

arxiv:1511.04400 v3 · 2015-11-13 · 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{57IEMY7YPH64QOHGEGZ7SDYFVV}

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	2026-06-04T17:09:45.246174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efd04663f879fdc838e621b3f90f05ad44e5c64fb4af8ea13ba9efcaf683cda1

Aliases

arxiv: 1511.04400 · arxiv_version: 1511.04400v3 · doi: 10.48550/arxiv.1511.04400 · pith_short_12: 57IEMY7YPH64 · pith_short_16: 57IEMY7YPH64QOHG · pith_short_8: 57IEMY7Y

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/57IEMY7YPH64QOHGEGZ7SDYFVV \
  | 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: efd04663f879fdc838e621b3f90f05ad44e5c64fb4af8ea13ba9efcaf683cda1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edc64893b7ea14ce714db336902decef9e708c5aaac503e330e95e1b48bcc3ae",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-11-13T18:55:35Z",
    "title_canon_sha256": "3d138255bf4474e4185ef1ad4dfd5cf8a4b5ffe8817d0710df24765d8953f503"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04400",
    "kind": "arxiv",
    "version": 3
  }
}