Pith Number

pith:GPLLGCPI

pith:2010:GPLLGCPIPH7RI4H3CA6R3DBSIV

not attested not anchored not stored refs pending

Quadratic Reflected BSDEs with Unbounded Obstacles

Erhan Bayraktar, Song Yao

arxiv:1005.3565 v4 · 2010-05-19 · math.PR · math.AP · math.OC · q-fin.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{GPLLGCPIPH7RI4H3CA6R3DBSIV}

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	2026-05-18T04:27:14.976710Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33d6b309e879ff1470fb103d1d8c32457ea107d31953002be14c5828999ce8aa

Aliases

arxiv: 1005.3565 · arxiv_version: 1005.3565v4 · doi: 10.48550/arxiv.1005.3565 · pith_short_12: GPLLGCPIPH7R · pith_short_16: GPLLGCPIPH7RI4H3 · pith_short_8: GPLLGCPI

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/GPLLGCPIPH7RI4H3CA6R3DBSIV \
  | 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: 33d6b309e879ff1470fb103d1d8c32457ea107d31953002be14c5828999ce8aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ec364a93a3a4d91f9992a7a19915533fd6a6a8102d226cb4649d3ec09187b61",
    "cross_cats_sorted": [
      "math.AP",
      "math.OC",
      "q-fin.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-05-19T21:44:07Z",
    "title_canon_sha256": "a6432ccaf7aebe0104904b629c0b23f2e9420fdc1c2570595437f50aac4613b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3565",
    "kind": "arxiv",
    "version": 4
  }
}