Pith Number

pith:HV2DO6VG

pith:2012:HV2DO6VG3J42J7ATJALJJLJNA6

not attested not anchored not stored refs pending

On controller-stopper problems with jumps and their applications to indifference pricing of American options

Erhan Bayraktar, Zhou Zhou

arxiv:1212.4894 v3 · 2012-12-20 · math.PR · math.OC · 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{HV2DO6VG3J42J7ATJALJJLJNA6}

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	2026-05-18T03:06:51.725591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d74377aa6da79a4fc13481694ad2d07bcb451f9ff100922e8c5c3b6cfadbf8e

Aliases

arxiv: 1212.4894 · arxiv_version: 1212.4894v3 · doi: 10.48550/arxiv.1212.4894 · pith_short_12: HV2DO6VG3J42 · pith_short_16: HV2DO6VG3J42J7AT · pith_short_8: HV2DO6VG

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/HV2DO6VG3J42J7ATJALJJLJNA6 \
  | 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: 3d74377aa6da79a4fc13481694ad2d07bcb451f9ff100922e8c5c3b6cfadbf8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4312ad60db7ea3337ed87356ede5239ab094905156ec5d2ac1c9ce6f00ac9821",
    "cross_cats_sorted": [
      "math.OC",
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-20T00:46:55Z",
    "title_canon_sha256": "87e949aeabad2080ea16409785bce5d1de022b2c12e510163da80dd7af537443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4894",
    "kind": "arxiv",
    "version": 3
  }
}