Pith Number

pith:PVZAHXXK

pith:2012:PVZAHXXKCVFTCPIHFYJFXFD2EW

not attested not anchored not stored refs pending

Singular Forward-Backward Stochastic Differential Equations and Emissions Derivatives

Francois Delarue, Gilles-Edouard Espinosa, Nizar Touzi, Rene Carmona

arxiv:1210.5773 v1 · 2012-10-21 · q-fin.PR · 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{PVZAHXXKCVFTCPIHFYJFXFD2EW}

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	2026-05-18T03:42:43.067340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d7203deea154b313d072e125b947a2594cd1b62de5dc7fa7659583c6609706c

Aliases

arxiv: 1210.5773 · arxiv_version: 1210.5773v1 · doi: 10.48550/arxiv.1210.5773 · pith_short_12: PVZAHXXKCVFT · pith_short_16: PVZAHXXKCVFTCPIH · pith_short_8: PVZAHXXK

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/PVZAHXXKCVFTCPIHFYJFXFD2EW \
  | 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: 7d7203deea154b313d072e125b947a2594cd1b62de5dc7fa7659583c6609706c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "305dcf17d5baa06e0ff05c240bc4b799400f011b5fcdbf2ffb8093fb02a91fd4",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PR",
    "submitted_at": "2012-10-21T22:54:06Z",
    "title_canon_sha256": "e371f75a8663694cee303037969eb27842f9c2d9a98f6fd82783754b4aa0d216"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5773",
    "kind": "arxiv",
    "version": 1
  }
}