Pith Number

pith:DIIUH4HX

pith:2016:DIIUH4HXMQBTUAF35PMJGZVKMD

not attested not anchored not stored refs pending

Vibrato and automatic differentiation for high order derivatives and sensitivities of financial options

Gilles Pag\`es (UPMC), Guillaume Sall (LJLL), Olivier Pironneau (LJLL)

arxiv:1606.06143 v1 · 2016-06-20 · q-fin.CP · cs.CE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DIIUH4HXMQBTUAF35PMJGZVKMD}

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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	2026-05-18T01:12:15.400791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a1143f0f764033a00bbebd89366aa60db382c9b9a0cbbbf9b17524ab773087c

Aliases

arxiv: 1606.06143 · arxiv_version: 1606.06143v1 · doi: 10.48550/arxiv.1606.06143 · pith_short_12: DIIUH4HXMQBT · pith_short_16: DIIUH4HXMQBTUAF3 · pith_short_8: DIIUH4HX

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/DIIUH4HXMQBTUAF35PMJGZVKMD \
  | 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: 1a1143f0f764033a00bbebd89366aa60db382c9b9a0cbbbf9b17524ab773087c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40b35f366879af8411c39716f6fe7bf6d3e1e3ad262d76344585c80a3134294a",
    "cross_cats_sorted": [
      "cs.CE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2016-06-20T14:36:39Z",
    "title_canon_sha256": "1198e578efe035e4c2514630e7a797c20bfa744e4545eab982863c1282a54cdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06143",
    "kind": "arxiv",
    "version": 1
  }
}