Pith Number

pith:A7M2DFEP

pith:2012:A7M2DFEPJE4LLKZ45IBSNNZVUW

not attested not anchored not stored refs pending

Ground States and Singular Vectors of Convex Variational Regularization Methods

Martin Benning, Martin Burger

arxiv:1211.2057 v1 · 2012-11-09 · 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{A7M2DFEPJE4LLKZ45IBSNNZVUW}

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	2026-05-18T03:41:11.845152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07d9a1948f4938b5ab3cea0326b735a58a81246a0b90803339040636d0fafe25

Aliases

arxiv: 1211.2057 · arxiv_version: 1211.2057v1 · doi: 10.48550/arxiv.1211.2057 · pith_short_12: A7M2DFEPJE4L · pith_short_16: A7M2DFEPJE4LLKZ4 · pith_short_8: A7M2DFEP

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/A7M2DFEPJE4LLKZ45IBSNNZVUW \
  | 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: 07d9a1948f4938b5ab3cea0326b735a58a81246a0b90803339040636d0fafe25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48e03e585421695e434d5acc58a741fc71f8f06784d4d6b722eac2e556577f0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-11-09T07:16:49Z",
    "title_canon_sha256": "2985edb0f4b9e36cc87ed1ae1e9bde9da920cc069b2ca0128d07a73d2d8bf92f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2057",
    "kind": "arxiv",
    "version": 1
  }
}