Pith Number

pith:X4XOWGXC

pith:2015:X4XOWGXCAJ2HGSN3DZR3AIRTCE

not attested not anchored not stored refs pending

Analytical solution to an investment problem under uncertainties with shocks

Cl\'audia Nunes, Rita Pimentel

arxiv:1509.04135 v2 · 2015-09-14 · math.OC · 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{X4XOWGXCAJ2HGSN3DZR3AIRTCE}

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	2026-05-18T01:32:58.950745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf2eeb1ae202747349bb1e63b02233110a8ff2896a932688e60818e991e8f15e

Aliases

arxiv: 1509.04135 · arxiv_version: 1509.04135v2 · doi: 10.48550/arxiv.1509.04135 · pith_short_12: X4XOWGXCAJ2H · pith_short_16: X4XOWGXCAJ2HGSN3 · pith_short_8: X4XOWGXC

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/X4XOWGXCAJ2HGSN3DZR3AIRTCE \
  | 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: bf2eeb1ae202747349bb1e63b02233110a8ff2896a932688e60818e991e8f15e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ec9bdc190b6cbaf333747249a931da7468cda4ade0801bb5e4ade9359d95db0",
    "cross_cats_sorted": [
      "q-fin.PM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-09-14T15:13:50Z",
    "title_canon_sha256": "11053be73e45438c6101f00e685ba19d116e3088462f5a7be7f2c92ae5bc5955"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.04135",
    "kind": "arxiv",
    "version": 2
  }
}