Pith Number

pith:AQGLOXIG

pith:2011:AQGLOXIG6OUDZLVFQDYZSHGJNG

not attested not anchored not stored refs pending

A proof of the equivalence of ensembles for asymptotically decoupled fields relying on Mosco's theorem

Pierre Petit

arxiv:1103.4420 v1 · 2011-03-22 · 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{AQGLOXIG6OUDZLVFQDYZSHGJNG}

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	2026-05-18T04:26:02.084998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

040cb75d06f3a83caea580f1991cc9699fd807228e353dce013eaf1f3183e081

Aliases

arxiv: 1103.4420 · arxiv_version: 1103.4420v1 · doi: 10.48550/arxiv.1103.4420 · pith_short_12: AQGLOXIG6OUD · pith_short_16: AQGLOXIG6OUDZLVF · pith_short_8: AQGLOXIG

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/AQGLOXIG6OUDZLVFQDYZSHGJNG \
  | 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: 040cb75d06f3a83caea580f1991cc9699fd807228e353dce013eaf1f3183e081

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2d87fd6211da7251c2962d94f64cbb8f18a82b3a328f70163b028b7bbf7454f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-22T23:50:31Z",
    "title_canon_sha256": "6d65fb43e37b9aacc4d3dc28577e8dd02f28c95c9bcf9d5d5382e193567a950e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4420",
    "kind": "arxiv",
    "version": 1
  }
}