Pith Number

pith:IHSWZSIV

pith:2017:IHSWZSIV6HSUFRUL4SYTMFAUYH

not attested not anchored not stored refs pending

Multiplicative Weights Update with Constant Step-Size in Congestion Games: Convergence, Limit Cycles and Chaos

Georgios Piliouras, Gerasimos Palaiopanos, Ioannis Panageas

arxiv:1703.01138 v1 · 2017-03-03 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IHSWZSIV6HSUFRUL4SYTMFAUYH}

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	2026-05-18T00:49:35.891297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41e56cc915f1e542c68be4b1361414c1c82725fb69e6504f0f01ed1c364d5b39

Aliases

arxiv: 1703.01138 · arxiv_version: 1703.01138v1 · doi: 10.48550/arxiv.1703.01138 · pith_short_12: IHSWZSIV6HSU · pith_short_16: IHSWZSIV6HSUFRUL · pith_short_8: IHSWZSIV

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/IHSWZSIV6HSUFRUL4SYTMFAUYH \
  | 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: 41e56cc915f1e542c68be4b1361414c1c82725fb69e6504f0f01ed1c364d5b39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03a0294e0e88977a36fb1b86630a8e5d1c6eea28085bbeb46a6efd734ca9a7e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2017-03-03T12:57:26Z",
    "title_canon_sha256": "479ddace7bde56b728883e3f9beee9bbe33dbc05b70daf6f73746e1d8a254486"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.01138",
    "kind": "arxiv",
    "version": 1
  }
}