Pith Number

pith:7Y2BFGNU

pith:2011:7Y2BFGNUMO73DK6FI7ZU7HSX65

not attested not anchored not stored refs pending

Adjoints and Automatic (Algorithmic) Differentiation in Computational Finance

Cristian Homescu

arxiv:1107.1831 v1 · 2011-07-10 · q-fin.CP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7Y2BFGNUMO73DK6FI7ZU7HSX65}

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.

Cited by

1 paper in Pith

Faster Forward Sensitivities: Reduced stochastic hedge ratios from pathwise algorithmic differentiation

Receipt and verification

First computed	2026-05-18T04:18:34.076003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe341299b463bfb1abc547f34f9e57f76ff0be219273506c17e0260784ba2e71

Aliases

arxiv: 1107.1831 · arxiv_version: 1107.1831v1 · doi: 10.48550/arxiv.1107.1831 · pith_short_12: 7Y2BFGNUMO73 · pith_short_16: 7Y2BFGNUMO73DK6F · pith_short_8: 7Y2BFGNU

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/7Y2BFGNUMO73DK6FI7ZU7HSX65 \
  | 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: fe341299b463bfb1abc547f34f9e57f76ff0be219273506c17e0260784ba2e71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ed9df47c87b49f79f2f692a2cb36d1c0da482c11a47f6296466bb2f60b3fa92",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2011-07-10T04:32:30Z",
    "title_canon_sha256": "01d14d366093ff3c4d01b6dd7fe26ba1e333f72e7f624c0cb21c3d64782c8020"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1831",
    "kind": "arxiv",
    "version": 1
  }
}