Pith Number

pith:BTMCFMDX

pith:2016:BTMCFMDXIP5XJEBZJ5B3JYCPSV

not attested not anchored not stored refs pending

Generalized Mirror Descents in Congestion Games

Chi-Jen Lu, Po-An Chen

arxiv:1605.07774 v2 · 2016-05-25 · cs.GT · 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{BTMCFMDXIP5XJEBZJ5B3JYCPSV}

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	2026-05-18T01:02:23.615161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cd822b07743fb7490394f43b4e04f955298549793824c71969972ace6f31595

Aliases

arxiv: 1605.07774 · arxiv_version: 1605.07774v2 · doi: 10.48550/arxiv.1605.07774 · pith_short_12: BTMCFMDXIP5X · pith_short_16: BTMCFMDXIP5XJEBZ · pith_short_8: BTMCFMDX

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/BTMCFMDXIP5XJEBZJ5B3JYCPSV \
  | 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: 0cd822b07743fb7490394f43b4e04f955298549793824c71969972ace6f31595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc98bbc6335eab635196eb5b7355ba09abb6daa2588a0d3a7c2835ebf70d1f56",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2016-05-25T08:32:48Z",
    "title_canon_sha256": "6f184f666ca6340648f32f040cdd208917b30a9f4e7ea92d605fedd6615c944e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07774",
    "kind": "arxiv",
    "version": 2
  }
}