Pith Number

pith:POOF3DUA

pith:2013:POOF3DUAOZWRLO5UNV6753AMON

not attested not anchored not stored refs pending

Hedging under an expected loss constraint with small transaction costs

Bruno Bouchard (CEREMADE, CREST), Ludovic Moreau, Mete H. Soner

arxiv:1309.4916 v2 · 2013-09-19 · q-fin.PM · 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{POOF3DUAOZWRLO5UNV6753AMON}

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	2026-05-18T02:43:02.544405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b9c5d8e80766d15bbb46d7dfeec0c736144eba5cd7236eb4814a2c5999f1fc8

Aliases

arxiv: 1309.4916 · arxiv_version: 1309.4916v2 · doi: 10.48550/arxiv.1309.4916 · pith_short_12: POOF3DUAOZWR · pith_short_16: POOF3DUAOZWRLO5U · pith_short_8: POOF3DUA

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/POOF3DUAOZWRLO5UNV6753AMON \
  | 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: 7b9c5d8e80766d15bbb46d7dfeec0c736144eba5cd7236eb4814a2c5999f1fc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b8f91a5bb25ccc348d7b5aadde0640ccf33e9b7c1143d16d33a4c4178aeb31c",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.PM",
    "submitted_at": "2013-09-19T09:52:51Z",
    "title_canon_sha256": "ba35ed7e2d9760d15d8625dc58d3d2bc89afa13b62ad9b529cc95f8eb209b843"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4916",
    "kind": "arxiv",
    "version": 2
  }
}