Pith Number

pith:JVQ7TPBX

pith:2013:JVQ7TPBXKCSZP7YX5EHDA422GL

not attested not anchored not stored refs pending

Alternating Projections and Douglas-Rachford for Sparse Affine Feasibility

D. Russell Luke, Patrick Neumann, Robert Hesse

arxiv:1307.2009 v2 · 2013-07-08 · 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{JVQ7TPBXKCSZP7YX5EHDA422GL}

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	2026-05-18T00:24:25.522922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d61f9bc3750a597ff17e90e30735a32ed0205150b029a7b9110f7652d37dc2f

Aliases

arxiv: 1307.2009 · arxiv_version: 1307.2009v2 · doi: 10.48550/arxiv.1307.2009 · pith_short_12: JVQ7TPBXKCSZ · pith_short_16: JVQ7TPBXKCSZP7YX · pith_short_8: JVQ7TPBX

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/JVQ7TPBXKCSZP7YX5EHDA422GL \
  | 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: 4d61f9bc3750a597ff17e90e30735a32ed0205150b029a7b9110f7652d37dc2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79d9d2a1b593e78c9fd47a6bbc39558dc0cdfd3482845ca86a516adb71f84f7d",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-07-08T09:58:18Z",
    "title_canon_sha256": "4aadc8a1a4626056f6b22d61f6fcab187329c836a4325eace023ee628a5621f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2009",
    "kind": "arxiv",
    "version": 2
  }
}