Pith Number

pith:F4VKEYX7

pith:2021:F4VKEYX765ZK6E6VEEJDK7CCSM

not attested not anchored not stored refs pending

No-regret distributed learning in subnetwork zero-sum games

Jie Chen, Jinlong Lei, Shijie Huang, Uday V. Shanbhag, Yiguang Hong

arxiv:2108.02144 v1 · 2021-08-04 · 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{F4VKEYX765ZK6E6VEEJDK7CCSM}

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	2026-07-05T03:03:22.035424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f2aa262fff772af13d52112357c4293193b38322966be7cd68c232d57bb3325

Aliases

arxiv: 2108.02144 · arxiv_version: 2108.02144v1 · doi: 10.48550/arxiv.2108.02144 · pith_short_12: F4VKEYX765ZK · pith_short_16: F4VKEYX765ZK6E6V · pith_short_8: F4VKEYX7

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/F4VKEYX765ZK6E6VEEJDK7CCSM \
  | 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: 2f2aa262fff772af13d52112357c4293193b38322966be7cd68c232d57bb3325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a924ce2467d778094e62a43517127d66117241254e6be55a3d43e4df905a147",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-08-04T16:15:32Z",
    "title_canon_sha256": "b013eab58a03a769aa515a17cee852ea409659debf7f167781c5091d2bdf7a74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.02144",
    "kind": "arxiv",
    "version": 1
  }
}