Pith Number

pith:L2IZ4CYH

pith:2008:L2IZ4CYHMCERKT525KH56NWX3J

not attested not anchored not stored refs pending

On incompleteness of bond markets with infinite number of random factors

Jacek Jakubowski, Jerzy Zabczyk, Micha{\l} Barski

arxiv:0809.2270 v2 · 2008-09-12 · q-fin.CP · 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{L2IZ4CYHMCERKT525KH56NWX3J}

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	2026-05-18T01:23:26.833804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e919e0b076089154fbaea8fdf36d7da7761e4f363aebc6fe76f4c988bbb8178

Aliases

arxiv: 0809.2270 · arxiv_version: 0809.2270v2 · doi: 10.48550/arxiv.0809.2270 · pith_short_12: L2IZ4CYHMCER · pith_short_16: L2IZ4CYHMCERKT52 · pith_short_8: L2IZ4CYH

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/L2IZ4CYHMCERKT525KH56NWX3J \
  | 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: 5e919e0b076089154fbaea8fdf36d7da7761e4f363aebc6fe76f4c988bbb8178

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e99ec0b84c32d4084a63b19ed338df19d86536228855ae8e242e09474a12aee",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-fin.CP",
    "submitted_at": "2008-09-12T19:11:37Z",
    "title_canon_sha256": "a7a5a41182dd114e28286bd00ec3a9d4f7634958f3be48650d253b5fa71ce6f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.2270",
    "kind": "arxiv",
    "version": 2
  }
}