Pith Number

pith:6ECBCBVZ

pith:2011:6ECBCBVZX4M7RGVFUWSPL5E4UM

not attested not anchored not stored refs pending

Hedge algorithm and Dual Averaging schemes

Michael B\"urgisser, Michel Baes

arxiv:1112.1275 v1 · 2011-12-06 · 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{6ECBCBVZX4M7RGVFUWSPL5E4UM}

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	2026-05-18T04:06:55.821291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1041106b9bf19f89aa5a5a4f5f49ca32e8bae5665a9d3512ff8073604df78ed

Aliases

arxiv: 1112.1275 · arxiv_version: 1112.1275v1 · doi: 10.48550/arxiv.1112.1275 · pith_short_12: 6ECBCBVZX4M7 · pith_short_16: 6ECBCBVZX4M7RGVF · pith_short_8: 6ECBCBVZ

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/6ECBCBVZX4M7RGVFUWSPL5E4UM \
  | 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: f1041106b9bf19f89aa5a5a4f5f49ca32e8bae5665a9d3512ff8073604df78ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "941ea17ec023c08161ba375f2d463b9d8adb3e98706b30c538f961e472a4c3d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-12-06T13:47:52Z",
    "title_canon_sha256": "bcfda3606035a7fffe00fc6d58119a9b82e01c0797fc9ed89d7644b39e50f325"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1275",
    "kind": "arxiv",
    "version": 1
  }
}