Pith Number

pith:GPBC2APV

pith:2015:GPBC2APVHMYFL4XXBPOOJ5FZG3

not attested not anchored not stored refs pending

A Framework for Applying Subgradient Methods to Conic Optimization Problems

James Renegar

arxiv:1503.02611 v2 · 2015-03-09 · 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{GPBC2APVHMYFL4XXBPOOJ5FZG3}

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	2026-05-18T01:48:06.326799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33c22d01f53b3055f2f70bdce4f4b936ee99704df786923cc7f08890c94f8236

Aliases

arxiv: 1503.02611 · arxiv_version: 1503.02611v2 · doi: 10.48550/arxiv.1503.02611 · pith_short_12: GPBC2APVHMYF · pith_short_16: GPBC2APVHMYFL4XX · pith_short_8: GPBC2APV

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/GPBC2APVHMYFL4XXBPOOJ5FZG3 \
  | 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: 33c22d01f53b3055f2f70bdce4f4b936ee99704df786923cc7f08890c94f8236

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ee715479f77e737976b875b21c956814b054fd982dc5aebd70ed6ce501f53d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-03-09T18:44:28Z",
    "title_canon_sha256": "c55a5a366397041b1ad2ae160470bb8c5ca65bf44a488fd1ca40189f6fca1a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02611",
    "kind": "arxiv",
    "version": 2
  }
}