Pith Number

pith:F2BLMN64

pith:2016:F2BLMN64SR6ZKEUAMLJ44F7K5H

not attested not anchored not stored refs pending

A Stochastic Model of Optimal Debt Management and Bankruptcy

Alberto Bressan, Antonio Marigonda, Khai T. Nguyen, Michele Palladino

arxiv:1609.05983 v2 · 2016-09-20 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F2BLMN64SR6ZKEUAMLJ44F7K5H}

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	2026-05-18T01:04:01.016897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e82b637dc947d95128062d3ce17eae9f4d40060414fa06405e4776b23a34807

Aliases

arxiv: 1609.05983 · arxiv_version: 1609.05983v2 · doi: 10.48550/arxiv.1609.05983 · pith_short_12: F2BLMN64SR6Z · pith_short_16: F2BLMN64SR6ZKEUA · pith_short_8: F2BLMN64

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/F2BLMN64SR6ZKEUAMLJ44F7K5H \
  | 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: 2e82b637dc947d95128062d3ce17eae9f4d40060414fa06405e4776b23a34807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ca44358a37c63d0b41e7f5ab86439f5aa976a579720221c5edd7f8f1846f068",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-09-20T01:13:09Z",
    "title_canon_sha256": "3afd934da516d10d0de1fd531202200584d8030b99e545e3dc04287f5d151d72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05983",
    "kind": "arxiv",
    "version": 2
  }
}