Pith Number

pith:UC4BYNX7

pith:2009:UC4BYNX7F5UPRG4HSHCWPO7SCM

not attested not anchored not stored refs pending

Sample-path Large Deviations in Credit Risk

Michel Mandjes, Peter Spreij, Vincent Leijdekker

arxiv:0909.5610 v1 · 2009-09-30 · 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{UC4BYNX7F5UPRG4HSHCWPO7SCM}

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	2026-05-18T02:48:33.710246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0b81c36ff2f68f89b8791c567bbf2133f892089aa75b9eb36866efee56b359d

Aliases

arxiv: 0909.5610 · arxiv_version: 0909.5610v1 · doi: 10.48550/arxiv.0909.5610 · pith_short_12: UC4BYNX7F5UP · pith_short_16: UC4BYNX7F5UPRG4H · pith_short_8: UC4BYNX7

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/UC4BYNX7F5UPRG4HSHCWPO7SCM \
  | 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: a0b81c36ff2f68f89b8791c567bbf2133f892089aa75b9eb36866efee56b359d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccdedcf7280f98c0f3afe274b797bf27a5a6fab0b4555d6dc9aa4e8dff72c0c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-09-30T13:45:52Z",
    "title_canon_sha256": "c50690d7bc87b69d0feb7f275291f86a642392f683bf07c891fb05f95bace1e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5610",
    "kind": "arxiv",
    "version": 1
  }
}