Pith Number

pith:Q6RCGTMZ

pith:2013:Q6RCGTMZPFMXUQ55TZZNCGMAZP

not attested not anchored not stored refs pending

Progressive Enlargements of Filtrations with Pseudo-Honest Times and their Applications in Financial Mathematics

Libo Li, Marek Rutkowski

arxiv:1307.6389 v1 · 2013-07-24 · 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{Q6RCGTMZPFMXUQ55TZZNCGMAZP}

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	2026-05-18T03:17:36.662117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87a2234d9979597a43bd9e72d11980cbf1cf3b4182c162fe09a0590047f09009

Aliases

arxiv: 1307.6389 · arxiv_version: 1307.6389v1 · doi: 10.48550/arxiv.1307.6389 · pith_short_12: Q6RCGTMZPFMX · pith_short_16: Q6RCGTMZPFMXUQ55 · pith_short_8: Q6RCGTMZ

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/Q6RCGTMZPFMXUQ55TZZNCGMAZP \
  | 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: 87a2234d9979597a43bd9e72d11980cbf1cf3b4182c162fe09a0590047f09009

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "531f9ec98094fd6ecf16530e7ce633960274f9974e91dc97dc68a6abd287a37b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-24T11:28:39Z",
    "title_canon_sha256": "b344b05a9636c5039632fed69471a826b8f6672049bae9f2ec6e3e329c098897"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6389",
    "kind": "arxiv",
    "version": 1
  }
}