Pith Number

pith:3Y6ODWKQ

pith:2016:3Y6ODWKQW52MYN3GMENMVGB2SH

not attested not anchored not stored refs pending

A consensus-based model for global optimization and its mean-field limit

Claudia Totzeck, Oliver Tse, Ren\'e Pinnau, Stephan Martin

arxiv:1604.05648 v3 · 2016-04-19 · math.PR · 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{3Y6ODWKQW52MYN3GMENMVGB2SH}

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	2026-05-18T00:33:39.745591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de3ce1d950b774cc3766611aca983a91f2ad621be997e13f4c7332aac6c4aafd

Aliases

arxiv: 1604.05648 · arxiv_version: 1604.05648v3 · doi: 10.48550/arxiv.1604.05648 · pith_short_12: 3Y6ODWKQW52M · pith_short_16: 3Y6ODWKQW52MYN3G · pith_short_8: 3Y6ODWKQ

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/3Y6ODWKQW52MYN3GMENMVGB2SH \
  | 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: de3ce1d950b774cc3766611aca983a91f2ad621be997e13f4c7332aac6c4aafd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fba9958a909d1a73064d3eb80eadf88b5fab1d2971a2fc7c820a0abc5b63b28a",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-19T16:57:27Z",
    "title_canon_sha256": "e5c7227513b7ce6f6236104d7962e279d3cc1e66ed8d60016ac14781bbc941ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05648",
    "kind": "arxiv",
    "version": 3
  }
}