Pith Number

pith:76DQLHZA

pith:2008:76DQLHZATRAZMKZKVGIXFCJGLJ

not attested not anchored not stored refs pending

Good deal bounds induced by shortfall risk

Takuji Arai

arxiv:0802.4141 v2 · 2008-02-28 · q-fin.RM · 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{76DQLHZATRAZMKZKVGIXFCJGLJ}

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	2026-07-04T17:23:51.012633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff87059f209c41962b2aa9917289265a4273d129b7e8d9955c316ff90d2c9d73

Aliases

arxiv: 0802.4141 · arxiv_version: 0802.4141v2 · doi: 10.48550/arxiv.0802.4141 · pith_short_12: 76DQLHZATRAZ · pith_short_16: 76DQLHZATRAZMKZK · pith_short_8: 76DQLHZA

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/76DQLHZATRAZMKZKVGIXFCJGLJ \
  | 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: ff87059f209c41962b2aa9917289265a4273d129b7e8d9955c316ff90d2c9d73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3c525ccab547342c353e8baa177fb35f8cc406516cce673620b1e6173de7330",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.RM",
    "submitted_at": "2008-02-28T08:27:49Z",
    "title_canon_sha256": "a6d58ff873370919d9188004e4c5bebeb88ce47e09fd1ed7c97102623d5bdfee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.4141",
    "kind": "arxiv",
    "version": 2
  }
}