Pith Number

pith:M4ULR23L

pith:2013:M4ULR23L2JUTNGHMVWUIRX2PA3

not attested not anchored not stored refs pending

A primal-dual hybrid gradient method for non-linear operators with applications to MRI

Tuomo Valkonen

arxiv:1309.5032 v2 · 2013-09-19 · 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{M4ULR23L2JUTNGHMVWUIRX2PA3}

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	2026-05-18T02:48:27.280758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6728b8eb6bd2693698ecada888df4f06de604d475cbb8f2e1f854bdc6955a03b

Aliases

arxiv: 1309.5032 · arxiv_version: 1309.5032v2 · doi: 10.48550/arxiv.1309.5032 · pith_short_12: M4ULR23L2JUT · pith_short_16: M4ULR23L2JUTNGHM · pith_short_8: M4ULR23L

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/M4ULR23L2JUTNGHMVWUIRX2PA3 \
  | 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: 6728b8eb6bd2693698ecada888df4f06de604d475cbb8f2e1f854bdc6955a03b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "757415497ba3bd88ab2a8eeca2ce332e27ad44d0c032d8f7af1c607f4fe0319c",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-09-19T15:55:08Z",
    "title_canon_sha256": "fb7bdf3ac32e79d5c20ac6878edce0e7c6bb55a9910eee2cd025c858b419c07f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5032",
    "kind": "arxiv",
    "version": 2
  }
}