Pith Number

pith:XDDSFK5V

pith:2019:XDDSFK5V6ZCJHIPPTSYSG75ZIO

not attested not anchored not stored refs pending

Polyak Steps for Adaptive Fast Gradient Method

Alexandre d'Aspremont, Mathieu Barr\'e

arxiv:1906.03056 v1 · 2019-06-07 · 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{XDDSFK5V6ZCJHIPPTSYSG75ZIO}

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	2026-05-17T23:43:55.208179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8c722abb5f64493a1ef9cb1237fb9439f21996e4eacb9b9d6e58d746ab23236

Aliases

arxiv: 1906.03056 · arxiv_version: 1906.03056v1 · doi: 10.48550/arxiv.1906.03056 · pith_short_12: XDDSFK5V6ZCJ · pith_short_16: XDDSFK5V6ZCJHIPP · pith_short_8: XDDSFK5V

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/XDDSFK5V6ZCJHIPPTSYSG75ZIO \
  | 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: b8c722abb5f64493a1ef9cb1237fb9439f21996e4eacb9b9d6e58d746ab23236

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc2458b4f0b6e06d6c71c69b0155a438a30d18de5d0cdb9de54b7e057a634d65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-06-07T12:58:47Z",
    "title_canon_sha256": "09f5ef5b607286001e91e22df3c111125884e4f5c96816d1a462e1da18e10ce9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.03056",
    "kind": "arxiv",
    "version": 1
  }
}