Pith Number

pith:J22IUHHC

pith:2014:J22IUHHC5B6LPK4KPUT5X6CC74

not attested not anchored not stored refs pending

A Forward Equation for Barrier Options under the Brunick&Shreve Markovian Projection

Ben Hambly, Christoph Reisinger, Matthieu Mariapragassam

arxiv:1411.3618 v5 · 2014-11-13 · q-fin.MF · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J22IUHHC5B6LPK4KPUT5X6CC74}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:04:33.512359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eb48a1ce2e87cb7ab8a7d27dbf842ff1a06a68d5ddd4383226303f6582716c5

Aliases

arxiv: 1411.3618 · arxiv_version: 1411.3618v5 · doi: 10.48550/arxiv.1411.3618 · pith_short_12: J22IUHHC5B6L · pith_short_16: J22IUHHC5B6LPK4K · pith_short_8: J22IUHHC

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/J22IUHHC5B6LPK4KPUT5X6CC74 \
  | 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: 4eb48a1ce2e87cb7ab8a7d27dbf842ff1a06a68d5ddd4383226303f6582716c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36ab45480ecaa11af0466303fd66722629b9036981e78e9ef271773af50e4c57",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.MF",
    "submitted_at": "2014-11-13T17:24:40Z",
    "title_canon_sha256": "49a08718987cb9b9f1059ec500f4e67b316776789ab923e5073675ef0d647a31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.3618",
    "kind": "arxiv",
    "version": 5
  }
}