Pith Number

pith:IMV5Q3X5

pith:2015:IMV5Q3X5RA5QW2DNTRNAC2WHHN

not attested not anchored not stored refs pending

Model-independent bounds for Asian options: a dynamic programming approach

Alexander M. G. Cox, Sigrid K\"allblad

arxiv:1507.02651 v2 · 2015-07-09 · q-fin.PR · math.OC · 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{IMV5Q3X5RA5QW2DNTRNAC2WHHN}

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	2026-05-18T01:10:45.949103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

432bd86efd883b0b686d9c5a016ac73b6c3e9952d957a48cab817494c9a0872b

Aliases

arxiv: 1507.02651 · arxiv_version: 1507.02651v2 · doi: 10.48550/arxiv.1507.02651 · pith_short_12: IMV5Q3X5RA5Q · pith_short_16: IMV5Q3X5RA5QW2DN · pith_short_8: IMV5Q3X5

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/IMV5Q3X5RA5QW2DNTRNAC2WHHN \
  | 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: 432bd86efd883b0b686d9c5a016ac73b6c3e9952d957a48cab817494c9a0872b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7964d370047a7674d74be31545a02066a054570987e7c855de616ada8e607f3",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2015-07-09T18:50:25Z",
    "title_canon_sha256": "00d4b2bb4509bd8a191c6f30112f927cbcfd783318e8ba274fca920e9f13a879"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02651",
    "kind": "arxiv",
    "version": 2
  }
}