Pith Number

pith:QQ55OANL

pith:2014:QQ55OANLNDIFJZU6OLF6PGSQJV

not attested not anchored not stored refs pending

An enlargement of filtration formula with application to progressive enlargement with multiple random times

Libo Li, Monique Jeanblanc, Shiqi Song

arxiv:1402.3278 v1 · 2014-02-13 · 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{QQ55OANLNDIFJZU6OLF6PGSQJV}

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	2026-05-18T02:59:07.034765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

843bd701ab68d054e69e72cbe79a504d54cadf7bb258b520f4793951ed2a75e5

Aliases

arxiv: 1402.3278 · arxiv_version: 1402.3278v1 · doi: 10.48550/arxiv.1402.3278 · pith_short_12: QQ55OANLNDIF · pith_short_16: QQ55OANLNDIFJZU6 · pith_short_8: QQ55OANL

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/QQ55OANLNDIFJZU6OLF6PGSQJV \
  | 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: 843bd701ab68d054e69e72cbe79a504d54cadf7bb258b520f4793951ed2a75e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2490c9c7bec626e19ff6c33730a1b168a569516c71a1df3a355631ba569a0c74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-13T20:26:44Z",
    "title_canon_sha256": "515d5a9556f1647ed62a4320c329faa7751172d12d361967f6f5fe0868c3f274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3278",
    "kind": "arxiv",
    "version": 1
  }
}