Pith Number

pith:OONZ7YUG

pith:2026:OONZ7YUG34SUM2JQL3TMVPTIBL

not attested not anchored not stored refs pending

Reflected Optimal Stopping with a Max-Type Payoff: Measure-Valued Stopping Gains and Killed Resolvent Representation

Ye Liang

arxiv:2607.09987 v1 · 2026-07-10 · math.AP · 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{OONZ7YUG34SUM2JQL3TMVPTIBL}

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	2026-07-14T00:18:46.180000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

739b9fe286df254669305ee6cabe680af89aa5efdcb6a0126c1cd29b27473ab1

Aliases

arxiv: 2607.09987 · arxiv_version: 2607.09987v1 · doi: 10.48550/arxiv.2607.09987 · pith_short_12: OONZ7YUG34SU · pith_short_16: OONZ7YUG34SUM2JQ · pith_short_8: OONZ7YUG

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/OONZ7YUG34SUM2JQL3TMVPTIBL \
  | 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: 739b9fe286df254669305ee6cabe680af89aa5efdcb6a0126c1cd29b27473ab1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "968d5dd470abb7b55b4e9492ca7ea6a7328f78136e3a9d64b998dd8662463c77",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-10T21:25:27Z",
    "title_canon_sha256": "1c137606d7254c04b763d23d9b5ea396f817c521a922c92e214d2f28ab473428"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09987",
    "kind": "arxiv",
    "version": 1
  }
}