Pith Number

pith:XXCYRZV4

pith:2013:XXCYRZV43HSOLQMKFXAAGFUQCR

not attested not anchored not stored refs pending

Reducing the debt : is it optimal to outsource an investment?

Benjamin Jourdain (CERMICS, Caroline Hillairet (CMAP), Gilles Edouard Espinosa (CERMICS), MATHRISK), Monique Pontier (IMT)

arxiv:1305.4879 v2 · 2013-05-21 · math.PR · q-fin.CP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXCYRZV43HSOLQMKFXAAGFUQCR}

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	2026-05-18T01:49:56.221672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdc588e6bcd9e4e5c18a2dc00316901473131ccb5f63330ec1e8be3cd805a7eb

Aliases

arxiv: 1305.4879 · arxiv_version: 1305.4879v2 · doi: 10.48550/arxiv.1305.4879 · pith_short_12: XXCYRZV43HSO · pith_short_16: XXCYRZV43HSOLQMK · pith_short_8: XXCYRZV4

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/XXCYRZV43HSOLQMKFXAAGFUQCR \
  | 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: bdc588e6bcd9e4e5c18a2dc00316901473131ccb5f63330ec1e8be3cd805a7eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0c85b02595bd8b7dbda01aaae86611e71c8d8c298e17e681391f496bd4d3b22",
    "cross_cats_sorted": [
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-21T16:48:36Z",
    "title_canon_sha256": "64ed54a6b7fb9d35fcb0bf8215a1e587a1719f498c39b4a01ada9c3cc41e6335"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4879",
    "kind": "arxiv",
    "version": 2
  }
}