Pith Number

pith:2ISPOMH3

pith:2012:2ISPOMH37V6GGCHFZKFSMZZZTX

not attested not anchored not stored refs pending

A Weak Convergence Criterion Constructing Changes of Measure

Johannes Ruf, Jose Blanchet

arxiv:1208.2606 v3 · 2012-08-13 · 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{2ISPOMH37V6GGCHFZKFSMZZZTX}

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	2026-05-18T02:53:30.521121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d224f730fbfd7c6308e5ca8b2667399df65849cd2b8c66bb82e5fa9efec1827b

Aliases

arxiv: 1208.2606 · arxiv_version: 1208.2606v3 · doi: 10.48550/arxiv.1208.2606 · pith_short_12: 2ISPOMH37V6G · pith_short_16: 2ISPOMH37V6GGCHF · pith_short_8: 2ISPOMH3

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/2ISPOMH37V6GGCHFZKFSMZZZTX \
  | 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: d224f730fbfd7c6308e5ca8b2667399df65849cd2b8c66bb82e5fa9efec1827b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee722df7195526743426fa0ea99d82dd8e5b1bfc07fa7120fc5264fdcc9a3564",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-13T14:58:23Z",
    "title_canon_sha256": "9c36a612187453f95388a1fe4569f8851d5566d546631fbdeaf8ab1a637a8fce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2606",
    "kind": "arxiv",
    "version": 3
  }
}