Pith Number

pith:DIVE4PAT

pith:2010:DIVE4PATY2ALDRE6XP2MJGLVNE

not attested not anchored not stored refs pending

Blackwell Approachability and Low-Regret Learning are Equivalent

Elad Hazan, Jacob Abernethy, Peter L. Bartlett

arxiv:1011.1936 v1 · 2010-11-08 · cs.LG · 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{DIVE4PATY2ALDRE6XP2MJGLVNE}

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	2026-05-18T04:36:42.898429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a2a4e3c13c680b1c49ebbf4c49975691c3ec90c896e7839ec4730b4a7be4b89

Aliases

arxiv: 1011.1936 · arxiv_version: 1011.1936v1 · doi: 10.48550/arxiv.1011.1936 · pith_short_12: DIVE4PATY2AL · pith_short_16: DIVE4PATY2ALDRE6 · pith_short_8: DIVE4PAT

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/DIVE4PATY2ALDRE6XP2MJGLVNE \
  | 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: 1a2a4e3c13c680b1c49ebbf4c49975691c3ec90c896e7839ec4730b4a7be4b89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08559cab1d0ddc64860ee94d410f7c826745d1627799b1b48471ccfd1afe54de",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2010-11-08T22:41:14Z",
    "title_canon_sha256": "a35abca5be7195117dd725edf1c75f0d404cc412b3797658d499b697ba7bb3ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1936",
    "kind": "arxiv",
    "version": 1
  }
}