Pith Number

pith:ACMU5VQZ

pith:2011:ACMU5VQZ5UDATPJB44XNXFD7L4

not attested not anchored not stored refs pending

Ambiguous Volatility, Possibility and Utility in Continuous Time

Larry Epstein, Shaolin Ji

arxiv:1103.1652 v7 · 2011-03-08 · q-fin.GN · 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{ACMU5VQZ5UDATPJB44XNXFD7L4}

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	2026-05-18T03:36:05.060849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00994ed619ed0609bd21e72edb947f5f11ed7b230ce85e00f32a82b19fdbf3cd

Aliases

arxiv: 1103.1652 · arxiv_version: 1103.1652v7 · doi: 10.48550/arxiv.1103.1652 · pith_short_12: ACMU5VQZ5UDA · pith_short_16: ACMU5VQZ5UDATPJB · pith_short_8: ACMU5VQZ

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/ACMU5VQZ5UDATPJB44XNXFD7L4 \
  | 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: 00994ed619ed0609bd21e72edb947f5f11ed7b230ce85e00f32a82b19fdbf3cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "588a4a19fb2bfbcec99cd992592e65f5fee7d9ce8726244f178715c3f9fb9279",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.GN",
    "submitted_at": "2011-03-08T21:54:28Z",
    "title_canon_sha256": "cc42405fd6dcc00e20b2aad1e65c86875944e9d8019a0c1395f05fc545639063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1652",
    "kind": "arxiv",
    "version": 7
  }
}