Pith Number

pith:VTA3UM5L

pith:2016:VTA3UM5LFUMKWB3TWZDMPIN7XP

not attested not anchored not stored refs pending

Charged Point Normalization: An Efficient Solution to the Saddle Point Problem

Armen Aghajanyan

arxiv:1609.09522 v2 · 2016-09-29 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTA3UM5LFUMKWB3TWZDMPIN7XP}

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	2026-05-18T00:51:13.913463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acc1ba33ab2d18ab0773b646c7a1bfbbd142f1666bbe458a6f42017c1263ddd7

Aliases

arxiv: 1609.09522 · arxiv_version: 1609.09522v2 · doi: 10.48550/arxiv.1609.09522 · pith_short_12: VTA3UM5LFUMK · pith_short_16: VTA3UM5LFUMKWB3T · pith_short_8: VTA3UM5L

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/VTA3UM5LFUMKWB3TWZDMPIN7XP \
  | 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: acc1ba33ab2d18ab0773b646c7a1bfbbd142f1666bbe458a6f42017c1263ddd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f4f6e7f3d912ef26dca107cfcac0ec0c993dc1a961b06b46cd17d9c0ecc8382",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2016-09-29T20:43:21Z",
    "title_canon_sha256": "36ca3bf823f8553c98640ca68252b9a0cfc98f1bfb576fd8e0ee1b27b63dd889"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09522",
    "kind": "arxiv",
    "version": 2
  }
}