Pith Number

pith:2TYUILTK

pith:2005:2TYUILTK453FWO2OF7ZQAL3ZQN

not attested not anchored not stored refs pending

Smooth Optimization with Approximate Gradient

Alexandre d'Aspremont

arxiv:math/0512344 v3 · 2005-12-14 · 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{2TYUILTK453FWO2OF7ZQAL3ZQN}

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	2026-07-04T15:11:36.587783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4f1442e6ae7765b3b4e2ff3002f79834823da22c48030a10c803d805a4bd0c2

Aliases

arxiv: math/0512344 · arxiv_version: math/0512344v3 · doi: 10.48550/arxiv.math/0512344 · pith_short_12: 2TYUILTK453F · pith_short_16: 2TYUILTK453FWO2O · pith_short_8: 2TYUILTK

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/2TYUILTK453FWO2OF7ZQAL3ZQN \
  | 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: d4f1442e6ae7765b3b4e2ff3002f79834823da22c48030a10c803d805a4bd0c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "895d24e99fd65f90ad890d4ff50bba9017c1f6febe85603e7f68840bc4c02f03",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OC",
    "submitted_at": "2005-12-14T21:12:19Z",
    "title_canon_sha256": "013910332a6cf5fbe0515a90aea949a6edf21bde7aad26c7f466f45c2e095a6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512344",
    "kind": "arxiv",
    "version": 3
  }
}