Pith Number

pith:YM7X7NTS

pith:2012:YM7X7NTSXFF72JQ5H6BYACADML

not attested not anchored not stored refs pending

Optimal stopping under adverse nonlinear expectation and related games

Jianfeng Zhang, Marcel Nutz

arxiv:1212.2140 v3 · 2012-12-10 · math.OC · math.PR · q-fin.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{YM7X7NTSXFF72JQ5H6BYACADML}

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	2026-05-18T01:33:35.556342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c33f7fb672b94bfd261d3f8380080362f7f40e0bd39ec1bcc55d5e648fe53bbd

Aliases

arxiv: 1212.2140 · arxiv_version: 1212.2140v3 · doi: 10.48550/arxiv.1212.2140 · pith_short_12: YM7X7NTSXFF7 · pith_short_16: YM7X7NTSXFF72JQ5 · pith_short_8: YM7X7NTS

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/YM7X7NTSXFF72JQ5H6BYACADML \
  | 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: c33f7fb672b94bfd261d3f8380080362f7f40e0bd39ec1bcc55d5e648fe53bbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac1f40b2a716e72877881eb1bf0f4fa560f71d8192db60a9c4dc6606ae277222",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-12-10T17:23:14Z",
    "title_canon_sha256": "17717f44e710339d66858ce2b5f157902e358492efe147405afdeca8da75f92b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2140",
    "kind": "arxiv",
    "version": 3
  }
}