Pith Number

pith:MBATZTSI

pith:2016:MBATZTSIXRTNV3W7JMY33ZMT2U

not attested not anchored not stored refs pending

Monotone and Convex Stochastic Orders for Processes with Independent Increments

David Criens

arxiv:1606.04993 v6 · 2016-06-15 · 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{MBATZTSIXRTNV3W7JMY33ZMT2U}

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	2026-05-18T00:38:04.374985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60413cce48bc66daeedf4b31bde593d51747e5e95481174a41981847daaf4bb8

Aliases

arxiv: 1606.04993 · arxiv_version: 1606.04993v6 · doi: 10.48550/arxiv.1606.04993 · pith_short_12: MBATZTSIXRTN · pith_short_16: MBATZTSIXRTNV3W7 · pith_short_8: MBATZTSI

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/MBATZTSIXRTNV3W7JMY33ZMT2U \
  | 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: 60413cce48bc66daeedf4b31bde593d51747e5e95481174a41981847daaf4bb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2d3b9479ec04e949a26cde5f7e52006d0925d84ec4cb4d6d53dac6006d898c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-15T22:04:13Z",
    "title_canon_sha256": "d88f29f9c768aaa1f1457843d74e996eaf66aec8a91bc9a4ea646e6ee7ee8383"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04993",
    "kind": "arxiv",
    "version": 6
  }
}