Pith Number

pith:SFWMHNLI

pith:2012:SFWMHNLID2RI3LJP6RRPC2VES5

not attested not anchored not stored refs pending

Constructing Sublinear Expectations on Path Space

Marcel Nutz, Ramon van Handel

arxiv:1205.2415 v3 · 2012-05-11 · math.PR · math.OC · q-fin.RM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SFWMHNLID2RI3LJP6RRPC2VES5}

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	2026-05-18T02:28:05.655341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

916cc3b5681ea28dad2ff462f16aa4974d1d6f095cd3f4ba3dcacaf922e57775

Aliases

arxiv: 1205.2415 · arxiv_version: 1205.2415v3 · doi: 10.48550/arxiv.1205.2415 · pith_short_12: SFWMHNLID2RI · pith_short_16: SFWMHNLID2RI3LJP · pith_short_8: SFWMHNLI

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/SFWMHNLID2RI3LJP6RRPC2VES5 \
  | 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: 916cc3b5681ea28dad2ff462f16aa4974d1d6f095cd3f4ba3dcacaf922e57775

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cec245039b66ef8698ae3c2b1f0453b376d2aeb50e71ab4dc30bee55b35c2d8f",
    "cross_cats_sorted": [
      "math.OC",
      "q-fin.RM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-05-11T01:50:37Z",
    "title_canon_sha256": "3d67f302020ca73c3a58c57d266119cb5e7ca3940817e73b8744870b7cd5f7ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2415",
    "kind": "arxiv",
    "version": 3
  }
}