Pith Number

pith:4CX5LESV

pith:2016:4CX5LESVQIYO3DWUPNO5KSQLDF

not attested not anchored not stored refs pending

Hybrid continuous and periodic barrier strategies in the dual model: optimality and fluctuation identities

Jos\'e-Luis P\'erez, Kazutoshi Yamazaki

arxiv:1612.02444 v3 · 2016-12-07 · math.OC · math.PR · 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{4CX5LESVQIYO3DWUPNO5KSQLDF}

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	2026-05-18T00:26:08.499074Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0afd592558230ed8ed47b5dd54a0b1962ea333233f7ef7acf393ff40d00bf26

Aliases

arxiv: 1612.02444 · arxiv_version: 1612.02444v3 · doi: 10.48550/arxiv.1612.02444 · pith_short_12: 4CX5LESVQIYO · pith_short_16: 4CX5LESVQIYO3DWU · pith_short_8: 4CX5LESV

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/4CX5LESVQIYO3DWUPNO5KSQLDF \
  | 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: e0afd592558230ed8ed47b5dd54a0b1962ea333233f7ef7acf393ff40d00bf26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b43c271111f2083268cea3f6dca19bad76a4ebb343a68e751302001b5a4ed846",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.RM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-12-07T21:01:55Z",
    "title_canon_sha256": "709c03a2385540d005c1c212c86ddeaf2366576204524370b5c3f8390125f6ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02444",
    "kind": "arxiv",
    "version": 3
  }
}