Pith Number

pith:POT6EMTJ

pith:2021:POT6EMTJD5EYIV7G6W7FFVJKSV

not attested not anchored not stored refs pending

Quantitative approximate independence for continuous mean field Gibbs measures

Daniel Lacker

arxiv:2105.03238 v1 · 2021-05-07 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{POT6EMTJD5EYIV7G6W7FFVJKSV}

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.

Cited by

1 paper in Pith

A Shared Observation Shields Collective Fluctuations while Preserving Local Independence

Receipt and verification

First computed	2026-07-05T02:38:23.389144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ba7e232691f498457e6f5be52d52a95595a65a7d8d24a3bfb6d89a6103ae7e1

Aliases

arxiv: 2105.03238 · arxiv_version: 2105.03238v1 · doi: 10.48550/arxiv.2105.03238 · pith_short_12: POT6EMTJD5EY · pith_short_16: POT6EMTJD5EYIV7G · pith_short_8: POT6EMTJ

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/POT6EMTJD5EYIV7G6W7FFVJKSV \
  | 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: 7ba7e232691f498457e6f5be52d52a95595a65a7d8d24a3bfb6d89a6103ae7e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e483b46aed74e340de3f41f387bcaa2293d2d9392f8eb99613bc9202f841fe6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-05-07T13:09:08Z",
    "title_canon_sha256": "1964e94390184a6835c0fe1fc0c3772081b5278ccde9aff63bae60dea0068dcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.03238",
    "kind": "arxiv",
    "version": 1
  }
}