Pith Number

pith:FLTY542M

pith:2016:FLTY542MXUSLMRM2RIJARWAXRD

not attested not anchored not stored refs pending

Convergence of dual ascent in non-convex/non-differentiable optimization

Carl Olsson, Fredrik Andersson, Marcus Carlsson

arxiv:1609.06576 v1 · 2016-09-21 · 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{FLTY542MXUSLMRM2RIJARWAXRD}

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	2026-05-18T01:04:07.872068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ae78ef34cbd24b6459a8a1208d81788ce210525944e61ac63d10384af9f03f2

Aliases

arxiv: 1609.06576 · arxiv_version: 1609.06576v1 · doi: 10.48550/arxiv.1609.06576 · pith_short_12: FLTY542MXUSL · pith_short_16: FLTY542MXUSLMRM2 · pith_short_8: FLTY542M

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/FLTY542MXUSLMRM2RIJARWAXRD \
  | 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: 2ae78ef34cbd24b6459a8a1208d81788ce210525944e61ac63d10384af9f03f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48b741c636f5f213f5440e2e128910dc34f5fc7c42bef83e70ed466220284b34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-09-21T14:23:33Z",
    "title_canon_sha256": "be9ca5ccdc351f8a28f2850521e18576b732166ea7f836f9d4f6db5729b90df5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06576",
    "kind": "arxiv",
    "version": 1
  }
}