Pith Number

pith:6I2YVOL6

pith:2011:6I2YVOL6AAYO5SOWDZL7TU7HVX

not attested not anchored not stored refs pending

Variational Inequalities and Improved Convergence Rates for Tikhonov Regularisation on Banach Spaces

Markus Grasmair

arxiv:1107.2471 v1 · 2011-07-13 · math.OC · 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{6I2YVOL6AAYO5SOWDZL7TU7HVX}

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	2026-05-18T04:18:22.962536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2358ab97e0030eec9d61e57f9d3e7adf100af688f6a5a6393ab90f8d2f1f571

Aliases

arxiv: 1107.2471 · arxiv_version: 1107.2471v1 · doi: 10.48550/arxiv.1107.2471 · pith_short_12: 6I2YVOL6AAYO · pith_short_16: 6I2YVOL6AAYO5SOW · pith_short_8: 6I2YVOL6

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/6I2YVOL6AAYO5SOWDZL7TU7HVX \
  | 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: f2358ab97e0030eec9d61e57f9d3e7adf100af688f6a5a6393ab90f8d2f1f571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c924657086dcaddcf066716c516bc30877190943fd1c6f30542498216eaad1db",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-07-13T06:50:07Z",
    "title_canon_sha256": "b5b347ba5cdb4befc3692fb01c85cb14015877db289f840be943cdd8c15acb84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2471",
    "kind": "arxiv",
    "version": 1
  }
}