Pith Number

pith:2JBYS34N

pith:2015:2JBYS34NGDR62DPTT76OOUXAG7

not attested not anchored not stored refs pending

The Uniform Integrability of Martingales. On a Question by Alexander Cherny

Johannes Ruf

arxiv:1501.05922 v2 · 2015-01-23 · 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{2JBYS34NGDR62DPTT76OOUXAG7}

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	2026-05-18T02:17:11.268672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d243896f8d30e3ed0df39ffce752e037eecde5726121a2ff6324e7e1ae300b29

Aliases

arxiv: 1501.05922 · arxiv_version: 1501.05922v2 · doi: 10.48550/arxiv.1501.05922 · pith_short_12: 2JBYS34NGDR6 · pith_short_16: 2JBYS34NGDR62DPT · pith_short_8: 2JBYS34N

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/2JBYS34NGDR62DPTT76OOUXAG7 \
  | 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: d243896f8d30e3ed0df39ffce752e037eecde5726121a2ff6324e7e1ae300b29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1519430f924e7ecd3b2c69db0c1aefaa74d2f95ff258ccf32704f5b7705f2716",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-23T19:25:23Z",
    "title_canon_sha256": "146388c059f7cfb4c1594b4a1c2a5fcb28b8039a7ddde93e2930ecd6ff4b69fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05922",
    "kind": "arxiv",
    "version": 2
  }
}