Pith Number

pith:QT5UABZV

pith:2011:QT5UABZVZQJO6BLB4XSFCKAADP

not attested not anchored not stored refs pending

Identifying the Free Boundary of a Stochastic, Irreversible Investment Problem via the Bank-El Karoui Representation Theorem

Giorgio Ferrari, Maria B. Chiarolla

arxiv:1108.4886 v5 · 2011-08-24 · math.OC · math.PR · q-fin.PM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QT5UABZVZQJO6BLB4XSFCKAADP}

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	2026-05-18T03:05:55.235644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84fb400735cc12ef0561e5e45128001bc5c6051429a0c7ea6b21e082f45d1c04

Aliases

arxiv: 1108.4886 · arxiv_version: 1108.4886v5 · doi: 10.48550/arxiv.1108.4886 · pith_short_12: QT5UABZVZQJO · pith_short_16: QT5UABZVZQJO6BLB · pith_short_8: QT5UABZV

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/QT5UABZVZQJO6BLB4XSFCKAADP \
  | 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: 84fb400735cc12ef0561e5e45128001bc5c6051429a0c7ea6b21e082f45d1c04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ade37cf710168facac259e2cd2612a7e470ee2bd7011ee785dfd0d01d27e2e53",
    "cross_cats_sorted": [
      "math.PR",
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-08-24T17:07:08Z",
    "title_canon_sha256": "37f2f2e4bf70b6904c66e3bbba9e5e02a97d616ab9a8eacdb1ebd243cf449eb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4886",
    "kind": "arxiv",
    "version": 5
  }
}