Pith Number

pith:YBOIN5FK

pith:2011:YBOIN5FKFVSW6HQEP5XGNDEV77

not attested not anchored not stored refs pending

Functions of Bounded Variation on the Classical Wiener Space and an Extended Ocone-Karatzas Formula

Dario Trevisan, Maurizio Pratelli

arxiv:1109.5071 v2 · 2011-09-23 · 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{YBOIN5FKFVSW6HQEP5XGNDEV77}

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	2026-05-18T04:11:51.153078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c05c86f4aa2d656f1e047f6e668c95ffcd31432fc99fd01eebe4c54a20849cdd

Aliases

arxiv: 1109.5071 · arxiv_version: 1109.5071v2 · doi: 10.48550/arxiv.1109.5071 · pith_short_12: YBOIN5FKFVSW · pith_short_16: YBOIN5FKFVSW6HQE · pith_short_8: YBOIN5FK

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/YBOIN5FKFVSW6HQEP5XGNDEV77 \
  | 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: c05c86f4aa2d656f1e047f6e668c95ffcd31432fc99fd01eebe4c54a20849cdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c322f17fcfc5a616a8f942b8c69141496c2c15e650ff3fccdfa9a69ed6b5707",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-23T13:32:36Z",
    "title_canon_sha256": "731eeb0e3f85fdf6f647ca7b48c618236c1b8eab6c304ac184dfe8437f7172a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5071",
    "kind": "arxiv",
    "version": 2
  }
}