Pith Number

pith:47OQUCPB

pith:2015:47OQUCPBYXIUMKLUXHIC2YZSB6

not attested not anchored not stored refs pending

The U-Lagrangian of a prox-regular function

Andrew Eberhard, Shuai Liu, Yousong Luo

arxiv:1510.08577 v1 · 2015-10-29 · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{47OQUCPBYXIUMKLUXHIC2YZSB6}

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	2026-05-18T01:28:28.438969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7dd0a09e1c5d1462974b9d02d63320f91a6d1f9b52c31dab3a6d1b745f851df

Aliases

arxiv: 1510.08577 · arxiv_version: 1510.08577v1 · doi: 10.48550/arxiv.1510.08577 · pith_short_12: 47OQUCPBYXIU · pith_short_16: 47OQUCPBYXIUMKLU · pith_short_8: 47OQUCPB

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/47OQUCPBYXIUMKLUXHIC2YZSB6 \
  | 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: e7dd0a09e1c5d1462974b9d02d63320f91a6d1f9b52c31dab3a6d1b745f851df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "366caeabd1d5e30647be3f91827f6143b0b906188fe753b7ae0f0f83511f432d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-10-29T06:38:00Z",
    "title_canon_sha256": "212db9375ecaae972a400b19c2f9582154b48c98a69085716b1284d285eb37b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.08577",
    "kind": "arxiv",
    "version": 1
  }
}